44:
541:
1045:
683:
480:(also a future mathematician) spent most of their time working on mathematics problems during breaks and after school. Later in life Banach credited Dr. Kamil Kraft, the mathematics and physics teacher at the school, with kindling his interests in mathematics. While Banach was a diligent student he did, on occasion, receive low grades (he failed Greek during his first semester at the school) and later spoke critically of the school's math teachers.
610:
459:
Puchalska in Kraków. Young Stefan came to regard
Franciszka as his foster mother and Maria as his older sister. In his early years Banach was tutored by Juliusz Mien, a French intellectual and friend of the Płowa family, who had emigrated to Poland and supported himself with photography and translations of Polish literature into French. Mien taught Banach French and most likely encouraged him in his early mathematical pursuits.
885:
581:. Steinhaus became fascinated with the self-taught young mathematician. The encounter resulted in a long-lasting collaboration and friendship. In fact, soon after the encounter Steinhaus invited Banach to solve some problems he had been working on but which had proven difficult. Banach solved them within a week and the two soon published their first joint work (
632:
in 1920 and published in 1922, included the basic ideas of functional analysis, which was soon to become an entirely new branch of mathematics. In his dissertation, written in 1920, he axiomatically defined what is today called a Banach space. The thesis was widely discussed in academic circles and
458:
and as the mother was too poor to support the child, the couple decided that he should be reared by family and friends. Stefan spent the first few years of his life with his grandmother, but when she was taken ill, Greczek arranged for his son to be raised by
Franciszka Płowa and her niece Maria
1631:
666:. First published in Polish in 1931, the next year it was also translated into French and gained wider recognition in European academic circles. The book was also the first in a long series of mathematics monographs edited by Banach and his circle. On 17 June 1924, Banach become a
846:. For a brief period in fact, complete normed linear spaces were referred to as "Banach–Wiener" spaces in mathematical literature, based on terminology introduced by Wiener himself. However, because Wiener's work on the topic was limited, the established name became just
1635:
953:
has been conferred by the Polish
Mathematical Society to mathematicians for best doctoral dissertations in the mathematical sciences with the objective to "promote and financially support the most promising young researchers".
279:
2199:
1443:
Stefan Banach (1922). "Sur les opérations dans les ensembles abstraits et leur application aux équations integrals (On operations in the abstract sets and their application to integral equations)".
450:
Unusually, Stefan's surname was his mother's instead of his father's, though he received his father's given name, Stefan. Military regulations did not permit soldiers of Stefan
Greczek's rank to
942:
2159:
2072:
1462:
658:, devoted primarily to Banach's field of study—functional analysis. Around that time, Banach also began working on his best-known work, the first monograph on the general theory of
501:. He initially chose engineering as his field of study since at the time he was convinced that there was nothing new to discover in mathematics. At some point he also attended
505:
in Kraków on a part-time basis. As Banach had to earn money to support his studies it was not until 1914 that he finally, at age 22, passed his high school graduation exams.
2194:
2189:
752:
Research
Institute. Employment in Weigl's Institute provided many unemployed university professors and their associates protection from random arrest and deportation to
736:
mathematicians, had to promise to learn
Ukrainian to be allowed to keep his chair and continue his academic activities. After the German takeover of Lwów in 1941 during
1555:
43:
772:
569:, one of the renowned mathematicians of the time. According to Steinhaus, while he was strolling through the gardens he was surprised to overhear the term
2209:
1112:
1107:
1223:
2174:
2204:
1879:
1590:
2094:
1679:
525:
2154:
2024:
1986:
586:
1967:
1926:
1780:
1753:
1710:
950:
540:
1657:
1606:
870:
601:. The society was officially founded on 2 April 1919. It was also through Steinhaus that Banach met his future wife, Łucja Braus.
288:
who is generally considered one of the 20th century's most important and influential mathematicians. He was the founder of modern
2184:
2169:
995:
celebrated the mathematician's achievements by issuing a series of commemorative coins designed by Robert
Kotowicz (golden 200-
577:
was at the time still a fairly new idea in mathematics) and walked over to investigate. As a result, he met Banach, as well as
174:
1905:
1858:
771:
of 1944, Banach returned to the university and helped re-establish it after the war years. However, because the
Soviets were
729:
768:
1559:
2129:
1463:"Математичний міст між Краковом і Львовом: як Стефан Банах став одним із найвеличніших математиків століття - krakow1.one"
1102:
1059:
908:
342:
293:
384:
142:
2214:
862:
520:
at the local schools, worked in a bookstore and as a foreman of a road building crew. He attended some lectures at the
150:
2179:
1092:
938:
598:
516:
opened its offensive toward Lwów, Banach left for Kraków, where he spent the rest of the war. He made his living as a
324:
1066:"Good mathematicians see analogies between theorems or theories, the very best ones see analogies between analogies."
913:
826:, he changed terminology and referred to them as "spaces of type B", which most likely contributed to the subsequent
624:
in 1918, Banach was given an assistantship at the Lwów
Polytechnic. Steinhaus' backing also allowed him to receive a
392:
158:
1727:
854:
671:
638:
396:
338:
185:
138:
903:
889:
376:
134:
839:
787:. He was also considered a candidate for Minister of Education of Poland. In January 1945, he was diagnosed with
918:
162:
146:
1228:
753:
896:
594:
380:
154:
1957:
1011:
992:
858:
784:
521:
502:
652:, soon gave birth to the "Lwów School of Mathematics". In 1929 the group began publishing its own journal,
2164:
1044:
648:
Young and talented, Banach gathered around him a large group of mathematicians. The group, meeting in the
621:
512:
broke out, Banach was excused from military service due to his left-handedness and poor vision. When the
388:
808:
513:
436:
427:
family, and was subsequently baptised by his father. Banach's parents were Stefan
Greczek and Katarzyna
1869:
633:
allowed him in 1922 to become a professor at the Lwów Polytechnic. Initially an assistant to Professor
529:
807:
Banach's dissertation, completed in 1920 and published in 1922, formally axiomatized the concept of a
682:
2149:
2144:
1916:
1087:
740:, all universities were closed and Banach, along with many colleagues and his son, was employed as a
737:
725:
667:
574:
312:
228:
2085:. Monografie Matematyczne (in French). Vol. 1. Warszawa: Subwencji Funduszu Kultury Narodowej.
1214:
946:
930:
899:
is one of the fundamental theorems of functional analysis. Further theorems related to Banach are:
874:
815:
811:
498:
334:
289:
122:
1821:
709:
654:
329:
300:(Theory of Linear Operations), the first monograph on the general theory of functional analysis.
1834:
1218:
634:
620:
Steinhaus introduced Banach to academic circles and substantially accelerated his career. After
238:
861:, was included in his dissertation, and was later extended by his students (for example in the
2020:
1982:
1963:
1922:
1901:
1875:
1854:
1813:
1776:
1747:
1706:
1586:
792:
687:
346:
248:
2014:
1014:
on the 100th anniversary of the conversation the two mathematicians held when they first met
2086:
1803:
1542:
866:
649:
613:
219:
108:
1181:
2090:
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and was permitted to stay in Lwów. He died on 31 August 1945, aged 53. His funeral at the
701:
642:
629:
609:
468:
417:
350:
272:
212:
166:
68:
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2047:
2034:
1894:
1070:
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843:
741:
566:
477:
455:
424:
372:
368:
320:
316:
252:
224:
130:
126:
884:
2138:
1825:
1139:
1097:
1033:
835:
641:. At the same time, from 1922, Banach also headed the second Chair of Mathematics at
637:, in 1927, Banach received his own chair. In 1924 he was accepted as a member of the
590:
285:
170:
92:
1007:
996:
981:
878:
831:
745:
733:
721:
717:
713:
663:
659:
578:
544:
364:
357:
118:
96:
17:
585:). Steinhaus, Banach and Nikodym, along with several other Kraków mathematicians (
1000:
974:
966:
788:
628:
without actually graduating from a university. The doctoral thesis, accepted by
561:
509:
202:
1632:"Setna rocznica najsłynniejszej matematycznej dyskusji na krakowskich Plantach"
1036:
commemorated the 100th anniversary of Banach receiving his title of professor.
1889:
985:
473:
444:
1817:
439:
stationed in Kraków. Little is known about Banach's mother. According to his
311:
descent, Banach showed a keen interest in mathematics and engaged in solving
2125:
957:
Stefan Banach is the patron of a number of schools and streets including in
625:
1049:
780:
548:
413:
412:
Stefan Banach was born on 30 March 1892 at St. Lazarus General Hospital in
304:
64:
1728:"Stefan Banach (March 30, 1892 – August 8, 1945) – Mathematics in Europe"
1018:, which proved instrumental in the development of his scientific career.
970:
830:
naming of these spaces after him. The theory of what came to be known as
760:
451:
1921:. Translated by Wojbor Andrzej Woyczyński and Ann Kostant. Birkhäuser.
949:
for outstanding achievements in mathematical sciences. Since 2009, the
764:
696:
597:) also established a mathematical society, which eventually became the
490:
440:
432:
360:
958:
827:
749:
552:
485:
428:
421:
308:
1808:
1791:
883:
776:
681:
524:
at that time, including those of the famous Polish mathematicians
517:
349:
comprising some of the most renowned Polish mathematicians of the
1773:
The Oxford Handbook of Generality in Mathematics and the Sciences
1997:
1874:. Gdańsk University Press and Adam Mickiewicz University Press.
1802:. Institute of Mathematics, Polish Academy of Sciences: 57–108.
1026:
962:
691:
494:
337:, subsequently becoming a professor in 1922 and a member of the
88:
1937:
1956:
Siegmund-Schultze, Reinhard (2003). Jahnke, Hans Niels (ed.).
1792:"Alfred Rosenblatt (1880–1947). Polish–Peruvian mathematician"
1680:"Stefan Banach: Google Doodle celebrates Polish mathematician"
1021:
In 2021, one of the episodes of Polish documentary TV series
1734:. Translated by Kramer, David. European Mathematical Society
1658:""Geniusze i marzyciele" – nowy serial dokumentalny w TVP1"
838:(published in 1916) and contemporaneous contributions from
834:
had antecedents in the work of the Hungarian mathematician
943:
Institute of Mathematics of the Polish Academy of Sciences
319:. After completing his secondary education, he befriended
779:, Banach began preparing to leave the city and settle in
1029:
and TVP Dokument channels was devoted to Stefan Banach.
489:(high school degree) at age 18 in 1910, Banach moved to
1771:
Chemla, Karine; Chorla, Renaud; Rabouin, David (2016).
888:
Decomposition of a ball into two identical balls – the
2200:
Members of the National Academy of Sciences of Ukraine
1871:
Stefan Banach - Remarkable life, Brilliant mathematics
1918:
Through a Reporter's Eyes: The Life of Stefan Banach
1896:
Remarkable Mathematicians: From Euler to von Neumann
1399:
1387:
1351:
1327:
1263:
1261:
1006:
In 2016, a commemorative bench featuring Banach and
783:, Poland, where he had been promised a chair at the
1556:"PIERWSZY LAUREAT "THE INTERNATIONAL BANACH PRIZE""
1168:
327:in 1919 and later published the scientific journal
244:
234:
218:
208:
198:
180:
114:
104:
77:
50:
34:
1893:
1252:
616:, meeting place of many famous Lwów mathematicians
532:, but little is known of that period of his life.
1062:, in his autobiography, quotes Banach as saying:
2160:People from the Kingdom of Galicia and Lodomeria
873:). The theorem did not require linearity of the
1842:Newsletter of the European Mathematical Society
1075:
1064:
462:In 1902, Banach, aged 10, enrolled in Kraków's
333:. In 1920, he received an assistantship at the
284:; 30 March 1892 – 31 August 1945) was a Polish
1077:"Banach was my greatest scientific discovery."
881:(in particular to any complete metric space).
1868:Jakimowicz, E.; Miranowicz, A., eds. (2007).
1790:Ciesielska, Danuta; Maligranda, Lech (2019).
1543:Institute of Mathematics: Stefan Banach Medal
341:in 1924. Banach was also a co-founder of the
8:
1208:
1206:
1204:
1202:
865:) and other mathematicians (in particular
724:for almost two years. Banach, from 1939 a
31:
2195:Members of the Polish Academy of Learning
1807:
1511:
1509:
1492:(in French; Theory of Linear Operations).
1426:
1424:
1422:
1420:
1113:Timeline of Polish science and technology
818:. In this work Banach called such spaces
814:and laid the foundations for the area of
583:On the Mean Convergence of Fourier Series
1530:
1240:
1108:List of things named after Stefan Banach
1043:
857:, based on earlier methods developed by
672:Polish Academy of Sciences and Fine Arts
608:
539:
497:) with the intention of studying at the
1726:Strick, Heinz Klaus (3 November 2016).
1501:
1224:MacTutor History of Mathematics Archive
1128:
630:King John II Casimir University of Lwów
472:). While the school specialized in the
2190:Members of the Lwów Scientific Society
1745:
1526:
1524:
1430:
1411:
1375:
1363:
1339:
1315:
1303:
1291:
1279:
1156:
1140:"Stefan Banach - Polish Mathematician"
799:) was attended by hundreds of people.
1835:"Facts and Myths about Stefan Banach"
1583:Genialni. Lwowska Szkoła Matematyczna
1515:
720:, Lwów came under the control of the
435:region. Greczek was a soldier in the
7:
2016:The Best Writing on Mathematics 2019
1267:
1134:
1132:
547:and Stefan Banach Memorial Bench in
296:. His major work was the 1932 book,
2046:Waksmundzka-Hajnos, Monika (2006).
565:park, Banach encountered Professor
25:
2210:Deaths from lung cancer in Poland
1962:. American Mathematical Society.
1853:. American Mathematical Society.
1169:Chemla, Chorla & Rabouin 2016
1093:International Stefan Banach Prize
1025:(Geniuses and Dreamers) aired on
951:International Stefan Banach Prize
447:and worked as a domestic helper.
2074:Théorie des Opérations Linéaires
2048:"Wspomnienie o Stefanie Greczku"
1490:Théorie des opérations linéaires
1400:Ciesielska & Maligranda 2019
1388:Jakimowicz & Miranowicz 2007
1352:Jakimowicz & Miranowicz 2007
1328:Jakimowicz & Miranowicz 2007
824:Théorie des opérations linéaires
363:that bear Banach's name include
298:Théorie des opérations linéaires
292:, and an original member of the
271:
42:
27:Polish mathematician (1892–1945)
2039:Poland in the Twentieth Century
2019:. Princeton: University Press.
1996:Urbanek, Mariusz (April 2002).
1058:, another mathematician of the
999:coin, silver 10-zloty coin and
323:, with whom he established the
1979:Elementary Functional Analysis
1900:. Cambridge University Press.
1607:"Narodowy Bank Polski. Monety"
988:in 1997, was named after him.
877:, and applied to any complete
730:Academy of Sciences of Ukraine
1:
2130:Mathematics Genealogy Project
2121:Page devoted to Stefan Banach
1752:: CS1 maint: date and year (
1703:Adventures of a Mathematician
1585:. Warsaw: Wydawnictwo Iskry.
1103:List of Polish mathematicians
775:from annexed formerly Polish
476:, Banach and his best friend
2205:Burials at Lychakiv Cemetery
1775:. Oxford: University Press.
1182:"Home Page of Stefan Banach"
855:Banach's fixed point theorem
622:Poland regained independence
175:Surjection of Fréchet spaces
109:Technical University of Lwów
2079:Theory of Linear Operations
1849:Jahnke, Hans Niels (2003).
1701:Ulam, Stanislaw M. (1976).
1634:(in Polish). Archived from
1558:(in Polish). Archived from
939:Polish Mathematical Society
935:Nagroda im. Stefana Banacha
599:Polish Mathematical Society
325:Polish Mathematical Society
245:Other notable students
2231:
2175:Lwów School of Mathematics
1977:MacCluer, Barbara (2008).
1796:Banach Center Publications
1545:Polish Academy of Sciences
1060:Lwów School of Mathematics
639:Polish Academy of Learning
555:(sculpted by Stefan Dousa)
397:Banach fixed-point theorem
343:Lwów School of Mathematics
339:Polish Academy of Learning
294:Lwów School of Mathematics
186:Polish Academy of Learning
139:Banach fixed-point theorem
1705:. Scribner. p. 203.
1581:Urbanek, Mariusz (2014).
1477:Teoria operacji liniowych
1171:, pp. 224, 225, 237.
1010:was unveiled in Kraków's
937:) was established by the
769:Lvov–Sandomierz Offensive
732:, and on good terms with
258:
191:
41:
2054:(11). Gdańsk University.
1936:Kosiedowski, Stanisław.
1447:(in French and Polish).
1229:University of St Andrews
980:In 2001, a minor planet
909:Banach–Steinhaus theorem
822:, but in his 1932 book,
754:Nazi concentration camps
593:, Alfred Rosenblatt and
385:Banach–Steinhaus theorem
143:Banach–Steinhaus theorem
2185:Lviv Polytechnic alumni
2013:Pitici, Mircea (2019).
1445:Fundamenta Mathematicae
1253:Waksmundzka-Hajnos 2006
993:National Bank of Poland
863:Banach–Schauder theorem
785:Jagiellonian University
522:Jagiellonian University
503:Jagiellonian University
418:Austro-Hungarian Empire
151:Banach–Schauder theorem
2170:Polish Roman Catholics
2155:Scientists from Kraków
1915:Kałuża, Roman (1996).
1079:
1068:
1052:
945:established a special
914:Banach–Alaoglu theorem
892:
705:
617:
587:Władysław Ślebodziński
556:
536:Discovery by Steinhaus
431:, both natives of the
393:Banach–Alaoglu theorem
159:Banach–Alaoglu theorem
1959:A History of Analysis
1851:A History of Analysis
1732:Mathematics in Europe
1047:
1023:Geniusze i marzyciele
904:Banach–Tarski paradox
890:Banach–Tarski paradox
887:
871:Poincaré and Birkhoff
685:
668:correspondence member
612:
559:In 1916, in Kraków's
543:
441:baptismal certificate
437:Austro-Hungarian Army
377:Banach–Tarski paradox
313:mathematical problems
135:Banach–Tarski paradox
1998:"Geniusz: gen i już"
1833:Duda, Roman (2009).
1215:Robertson, Edmund F.
1088:Closed range theorem
919:Banach–Stone theorem
859:Charles Émile Picard
797:Cmentarz Łyczakowski
738:Operation Barbarossa
726:corresponding member
575:Lebesgue integration
483:After obtaining his
356:Some of the notable
229:Kazimierz Twardowski
163:Banach–Stone theorem
147:Banach–Mazur theorem
2215:Functional analysts
1465:. 16 November 2022.
1213:O'Connor, John J.;
947:Stefan Banach Medal
931:Stefan Banach Prize
897:Hahn–Banach theorem
816:functional analysis
812:normed vector space
777:eastern territories
571:"Lebesgue integral"
466:(also known as the
416:, then part of the
381:Hahn–Banach theorem
290:functional analysis
155:Hahn–Banach theorem
123:Functional analysis
18:Stefan Banach Medal
2180:Operator theorists
2100:on 11 January 2014
1638:on 19 October 2016
1402:, pp. 57–108.
1186:kielich.amu.edu.pl
1053:
893:
710:invasion of Poland
706:
655:Studia Mathematica
643:University of Lwów
618:
595:Włodzimierz Stożek
557:
530:Kazimierz Żorawski
443:, she was born in
330:Studia Mathematica
213:University of Lwów
1881:978-83-7326-451-9
1592:978-83-244-0381-3
1146:. 27 August 2023.
1048:Banach monument,
793:Lychakiv Cemetery
759:After the Soviet
688:Lychakiv Cemetery
526:Stanisław Zaremba
389:Banach–Mazur game
347:school of thought
262:
261:
235:Doctoral students
220:Doctoral advisors
193:Scientific career
16:(Redirected from
2222:
2109:
2107:
2105:
2099:
2093:. Archived from
2084:
2055:
2042:
2030:
2009:
1992:
1973:
1952:
1950:
1948:
1932:
1911:
1899:
1885:
1864:
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1811:
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1232:
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1210:
1197:
1196:
1194:
1192:
1178:
1172:
1166:
1160:
1154:
1148:
1147:
1136:
1073:said of Banach:
984:, discovered by
820:"class E-spaces"
686:Banach's grave,
499:Lwów Polytechnic
335:Lwów Polytechnic
283:
282:
281:
274:
270:
84:
60:
58:
46:
32:
21:
2230:
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2221:
2220:
2219:
2135:
2134:
2117:
2112:
2103:
2101:
2097:
2082:
2067:
2063:
2061:Further reading
2058:
2045:
2035:Stachura, Peter
2033:
2027:
2012:
1995:
1989:
1976:
1970:
1955:
1946:
1944:
1938:"Stefan Banach"
1935:
1929:
1914:
1908:
1888:
1882:
1867:
1861:
1848:
1837:
1832:
1809:10.4064/bc119-4
1789:
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1770:
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1615:
1613:
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1605:
1604:
1600:
1593:
1580:
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1565:
1563:
1562:on 17 June 2015
1554:
1553:
1549:
1541:
1537:
1529:
1522:
1514:
1507:
1500:
1496:
1488:Stefan Banach:
1487:
1483:
1475:Stefan Banach:
1474:
1470:
1461:
1460:
1456:
1442:
1441:
1437:
1429:
1418:
1410:
1406:
1398:
1394:
1386:
1382:
1374:
1370:
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1219:"Stefan Banach"
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1084:
1042:
1003:2-zloty coin).
941:. In 1992, the
927:
805:
773:deporting Poles
680:
635:Antoni Łomnicki
607:
538:
469:Goetz Gymnasium
410:
405:
373:Banach measures
369:Banach algebras
351:interwar period
307:to a family of
278:
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239:Stanisław Mazur
227:
173:
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167:Banach manifold
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105:Alma mater
100:
99:(today Ukraine)
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69:Austria-Hungary
62:
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37:
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2115:External links
2113:
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2069:Banach, Stefan
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844:Norbert Wiener
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478:Witold Wiłkosz
425:Roman Catholic
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321:Hugo Steinhaus
315:during school
260:
259:
256:
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253:Stanislaw Ulam
249:Józef Schreier
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225:Hugo Steinhaus
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131:Banach measure
127:Banach algebra
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115:Known for
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85:(aged 53)
81:31 August 1945
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1531:MacCluer 2008
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1269:
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1255:, p. 16.
1254:
1249:
1246:
1243:, p. 51.
1242:
1241:Stachura 1999
1237:
1234:
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1159:, p. 23.
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1098:List of Poles
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1034:Google Doodle
1030:
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1017:
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1004:
1002:
998:
994:
991:In 2012, the
989:
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978:
976:
972:
968:
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960:
955:
952:
948:
944:
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929:In 1946, the
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848:Banach spaces
845:
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837:
836:Frigyes Riesz
833:
832:Banach spaces
829:
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803:Contributions
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650:Scottish Café
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614:Scottish Café
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591:Leon Chwistek
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365:Banach spaces
362:
359:
354:
353:(1918–1939).
352:
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332:
331:
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322:
318:
314:
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306:
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286:mathematician
280:
273:
266:
265:Stefan Banach
257:
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171:Banach bundle
168:
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144:
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128:
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94:
93:Ukrainian SSR
90:
80:
76:
70:
66:
61:30 March 1892
53:
49:
45:
40:
36:Stefan Banach
33:
30:
19:
2102:. Retrieved
2095:the original
2078:
2073:
2068:
2051:
2038:
2015:
2005:
2001:
1981:. Springer.
1978:
1958:
1945:. Retrieved
1941:
1917:
1895:
1870:
1850:
1841:
1799:
1795:
1772:
1736:. Retrieved
1731:
1721:
1702:
1696:
1684:. Retrieved
1674:
1662:. Retrieved
1652:
1640:. Retrieved
1636:the original
1626:
1614:. Retrieved
1601:
1582:
1576:
1564:. Retrieved
1560:the original
1550:
1538:
1502:Urbanek 2002
1497:
1489:
1484:
1476:
1471:
1457:
1448:
1444:
1438:
1414:, p. 23
1407:
1395:
1383:
1378:, p. 16
1371:
1366:, p. 13
1359:
1347:
1335:
1323:
1311:
1299:
1287:
1275:
1248:
1236:
1222:
1189:. Retrieved
1185:
1176:
1164:
1152:
1143:
1076:
1069:
1065:
1054:
1031:
1022:
1020:
1008:Otto Nikodym
1005:
990:
982:16856 Banach
979:
956:
934:
928:
894:
879:Cauchy space
852:
847:
823:
819:
806:
796:
758:
746:Rudolf Weigl
722:Soviet Union
718:Soviet Union
714:Nazi Germany
707:
695:
678:World War II
664:metric space
653:
647:
619:
582:
579:Otto Nikodym
570:
560:
558:
545:Otto Nikodym
514:Russian Army
507:
484:
482:
467:
464:IV Gymnasium
463:
461:
449:
411:
358:mathematical
355:
328:
302:
297:
264:
263:
209:Institutions
192:
184:Membership:
119:Banach space
97:Soviet Union
83:(1945-08-31)
29:
2150:1945 deaths
2145:1892 births
2041:. Springer.
1890:James, Ioan
1660:(in Polish)
1612:(in Polish)
1533:, p. 6
1431:Jahnke 2003
1412:Kałuża 1996
1376:Kałuża 1996
1364:Kałuża 1996
1340:Kałuża 1996
1316:Kałuża 1996
1306:, p. 3
1304:Kałuża 1996
1292:Kałuża 1996
1280:Kałuża 1996
1157:Pitici 2019
1012:Planty Park
1001:Nordic Gold
925:Recognition
789:lung cancer
763:recaptured
742:lice feeder
674:in Kraków.
605:Interbellum
510:World War I
454:; he was a
203:Mathematics
2139:Categories
2091:0005.20901
1907:0521520940
1860:0821826239
1738:19 January
1516:James 2003
1119:References
986:Paul Comba
853:Likewise,
708:After the
474:humanities
408:Early life
395:, and the
57:1892-03-30
1826:213021027
1818:0137-6934
1686:11 August
1664:11 August
1642:11 August
1616:11 August
1566:11 August
1268:Duda 2009
1191:19 August
1124:Citations
1032:In 2022,
933:(Polish:
840:Hans Hahn
828:eponymous
626:doctorate
420:, into a
2071:(1932).
2037:(1999).
2002:Polityka
1942:Mój Lwów
1892:(2003).
1748:cite web
1082:See also
975:Jarosław
967:Świdnica
809:complete
761:Red Army
716:and the
361:concepts
303:Born in
2128:at the
2104:11 July
2008:(2348).
1764:Sources
867:Brouwer
767:in the
728:of the
670:of the
456:private
445:Borówna
433:Podhale
269:Polish:
2089:
2081:]
2023:
1985:
1966:
1947:20 May
1925:
1904:
1878:
1857:
1824:
1816:
1779:
1709:
1589:
1390:, p. 6
1330:, p. 4
1050:Kraków
1040:Quotes
959:Warsaw
781:Kraków
750:Typhus
734:Soviet
702:Polish
660:linear
562:Planty
553:Poland
549:Kraków
486:matura
429:Banach
414:Kraków
391:, the
387:, the
383:, the
379:, the
375:, the
317:recess
305:Kraków
199:Fields
181:Awards
65:Kraków
2098:(PDF)
2083:(PDF)
2077:[
2052:Focus
1838:(PDF)
1822:S2CID
1610:(PDF)
1354:, p.5
997:zloty
971:Toruń
875:space
700:, in
518:tutor
508:When
452:marry
422:Góral
309:Goral
275:
2106:2020
2021:ISBN
1983:ISBN
1964:ISBN
1949:2008
1923:ISBN
1902:ISBN
1876:ISBN
1855:ISBN
1814:ISSN
1777:ISBN
1754:link
1740:2024
1707:ISBN
1688:2022
1666:2022
1644:2022
1618:2022
1587:ISBN
1568:2022
1193:2017
1027:TVP1
973:and
963:Lviv
895:The
869:and
842:and
765:Lviv
697:Lwów
692:Lviv
528:and
495:Lviv
491:Lwów
403:Life
345:, a
89:Lviv
78:Died
51:Born
2087:Zbl
1804:doi
1800:119
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