1173:
551:
The noncommutative analog of the Banach-Stone theorem is the folklore theorem that two unital C*-algebras are isomorphic if and only if they are completely isometric (i.e., isometric at all matrix levels). Mere isometry is not enough, as shown by the existence of a C*-algebra that is not isomorphic
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is due to Banach, while the extension to compact
Hausdorff spaces is due to Stone. In fact, they both prove a slight generalization—they do not assume that
1771:
888:
2698:
1743:
1015:
870:
489:
The Banach–Stone theorem has some generalizations for vector-valued continuous functions on compact, Hausdorff topological spaces. For example, if
304:
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686:
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2020:
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2015:
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893:
100:), the set of algebra homomorphisms into the scalar field, equipped with the weak*-topology inherited from the dual space
1609:
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1993:
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2010:
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903:
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1005:
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1951:
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1941:
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1116:
677:. Monografie Matematyczne (in French). Vol. 1. Warszawa: Subwencji Funduszu Kultury Narodowej.
2234:
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2005:
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1265:
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1020:
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198:
36:
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2216:
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2201:
2171:
2167:
1988:
1946:
1553:
1463:
1408:
1255:
1107:
974:
2594:
2348:
1821:
1602:
1545:
1525:
1087:
640:
40:
1978:
1973:
1961:
1873:
1858:
1721:
1661:
1636:
1567:
1557:
1420:
1365:
1092:
1010:
979:
959:
944:
939:
934:
771:
678:
612:
449:
652:
1998:
1983:
1909:
1883:
1711:
1704:
1671:
1631:
1597:
1589:
1517:
1485:
1350:
1282:
954:
908:
856:
851:
822:
703:
682:
648:
201:
132:
781:
108:)*. The Banach-Stone theorem avoids reference to multiplicative structure by recovering
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205:
159:
129:
47:
44:
17:
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791:
761:
561:
494:
147:
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2135:
2100:
1651:
1614:
1287:
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28:
552:
to its opposite algebra (which trivially has the same Banach space structure).
2479:
2440:
2130:
2095:
1936:
1684:
1446:
1000:
840:
836:
832:
644:
408:{\displaystyle (Tf)(y)=g(y)f(\varphi (y)){\mbox{ for all }}y\in Y,f\in C(X).}
2206:
1451:
1415:
544:
from the extreme points of the duals of some other spaces of functions on
2509:
2472:
2356:
2282:
2242:
2145:
1968:
435:
2277:
2111: ((cs, lcs)-closed, (cs, bcs)-complete, (lower) ideally convex, (H
1360:
1187:
587:. Warszawa: Instytut Matematyczny Polskiej Akademii Nauk. p. 170.
617:
600:
601:"Applications of the Theory of Boolean Rings to General Topology"
1191:
707:
631:
Araujo, Jesús (2006). "The noncompact Banach–Stone theorem".
57:
In brief, the Banach–Stone theorem allows one to recover a
540:
A similar technique has also been used to recover a space
76:. If one is allowed to invoke the algebra structure of
366:
270:
2597:
2523:
2485:
2446:
2394:
2297:
2248:
452:
307:
240:
72:) of continuous real- or complex-valued functions on
2640:
2225:
2154:
2063:
1897:
1742:
1670:
1516:
1429:
1343:
1226:
1126:
1050:
1029:
988:
927:
869:
815:
750:
2625:
2549:
2498:
2459:
2422:
2332:
2266:
1063:Spectral theory of ordinary differential equations
473:
407:
287:
605:Transactions of the American Mathematical Society
288:{\displaystyle |g(y)|=1{\mbox{ for all }}y\in Y}
2550:{\displaystyle S\left(\mathbb {R} ^{n}\right)}
2658:Mathematical formulation of quantum mechanics
1203:
719:
64:from the Banach space structure of the space
8:
564: – Normed vector space that is complete
112:from the extreme points of the unit ball of
509:are compact, then every linear isometry of
438:in the sense of metric spaces, and use the
1210:
1196:
1188:
754:
726:
712:
704:
2614:
2596:
2537:
2533:
2532:
2522:
2490:
2484:
2451:
2445:
2399:
2393:
2333:{\displaystyle B_{p,q}^{s}(\mathbb {R} )}
2323:
2322:
2313:
2302:
2296:
2247:
616:
451:
365:
306:
269:
258:
241:
239:
1016:Group algebra of a locally compact group
2423:{\displaystyle L^{\lambda ,p}(\Omega )}
574:
35:is a classical result in the theory of
2663:Ordinary Differential Equations (ODEs)
1777:Banach–Steinhaus (Uniform boundedness)
150:of continuous real- or complex-valued
7:
2491:
2452:
2414:
2258:
25:
2155:Subsets / set operations
1932:Differentiation in Fréchet spaces
84:) this is easy – we can identify
1172:
1171:
1098:Topological quantum field theory
666:Théorie des Opérations Linéaires
585:Théorie des opérations linéaires
2699:Theorems in functional analysis
2460:{\displaystyle \ell ^{\infty }}
169:Given compact Hausdorff spaces
2689:Theory of continuous functions
2620:
2601:
2417:
2411:
2327:
2319:
2261:
2255:
1849:Lomonosov's invariant subspace
1772:Banach–Schauder (open mapping)
468:
462:
434:is linear, only that it is an
399:
393:
362:
359:
353:
347:
341:
335:
326:
320:
317:
308:
259:
255:
249:
242:
1:
894:Uniform boundedness principle
1734:Singular value decomposition
2499:{\displaystyle L^{\infty }}
2267:{\displaystyle ba(\Sigma )}
2136:Radially convex/Star-shaped
671:Theory of Linear Operations
2715:
2626:{\displaystyle W(X,L^{p})}
1037:Invariant subspace problem
633:Journal of Operator Theory
2172:Algebraic interior (core)
1787:Cauchy–Schwarz inequality
1430:Function space Topologies
1167:
757:
1006:Spectrum of a C*-algebra
599:Stone, Marshall (1937).
1103:Noncommutative geometry
583:Banach, Stefan (1932).
535:strong Banach–Stone map
59:compact Hausdorff space
2627:
2551:
2500:
2461:
2424:
2334:
2268:
1437:Banach–Mazur compactum
1227:Types of Banach spaces
1159:Tomita–Takesaki theory
1134:Approximation property
1078:Calculus of variations
481:is a linear isometry.
475:
474:{\displaystyle T-T(0)}
409:
289:
204:. Then there exists a
2653:Finite element method
2648:Differential operator
2628:
2552:
2501:
2462:
2425:
2335:
2269:
2109:Convex series related
1905:Abstract Wiener space
1832:hyperplane separation
1387:Minkowski functionals
1271:Polarization identity
1154:Banach–Mazur distance
1117:Generalized functions
476:
410:
290:
2595:
2521:
2483:
2444:
2392:
2295:
2246:
2235:Absolute continuity
1889:Schauder fixed-point
1879:Riesz representation
1839:Kakutani fixed-point
1807:Freudenthal spectral
1293:L-semi-inner product
899:Kakutani fixed-point
884:Riesz representation
450:
305:
238:
158:, equipped with the
37:continuous functions
33:Banach–Stone theorem
18:Banach-Stone theorem
2318:
2056:measurable function
2006:Functional calculus
1869:Parseval's identity
1782:Bessel's inequality
1729:Polar decomposition
1508:Uniform convergence
1266:Inner product space
1083:Functional calculus
1042:Mahler's conjecture
1021:Von Neumann algebra
735:Functional analysis
368: for all
272: for all
2668:Validated numerics
2623:
2579:Sobolev inequality
2547:
2496:
2457:
2420:
2349:Bounded variation
2330:
2298:
2283:Banach coordinate
2264:
2202:Minkowski addition
1864:M. Riesz extension
1344:Banach spaces are:
1108:Riemann hypothesis
807:Topological vector
471:
446:is affine, and so
440:Mazur–Ulam theorem
405:
370:
285:
274:
43:, named after the
41:topological spaces
2676:
2675:
2388:Morrey–Campanato
2370:compact Hausdorff
2217:Relative interior
2071:Absolutely convex
2038:Projection-valued
1647:Strictly singular
1573:on Hilbert spaces
1334:of Hilbert spaces
1185:
1184:
1088:Integral operator
865:
864:
369:
273:
16:(Redirected from
2706:
2632:
2630:
2629:
2624:
2619:
2618:
2586:Triebel–Lizorkin
2556:
2554:
2553:
2548:
2546:
2542:
2541:
2536:
2505:
2503:
2502:
2497:
2495:
2494:
2466:
2464:
2463:
2458:
2456:
2455:
2429:
2427:
2426:
2421:
2410:
2409:
2339:
2337:
2336:
2331:
2326:
2317:
2312:
2273:
2271:
2270:
2265:
2126:
2104:
2086:Balanced/Circled
1884:Robinson-Ursescu
1802:Eberlein–Šmulian
1722:Spectral theorem
1518:Linear operators
1315:Uniformly smooth
1212:
1205:
1198:
1189:
1175:
1174:
1093:Jones polynomial
1011:Operator algebra
755:
728:
721:
714:
705:
700:
698:
697:
691:
685:. Archived from
676:
656:
623:
622:
620:
595:
589:
588:
579:
480:
478:
477:
472:
414:
412:
411:
406:
371:
367:
294:
292:
291:
286:
275:
271:
262:
245:
21:
2714:
2713:
2709:
2708:
2707:
2705:
2704:
2703:
2694:Operator theory
2679:
2678:
2677:
2672:
2636:
2610:
2593:
2592:
2591:Wiener amalgam
2561:Segal–Bargmann
2531:
2527:
2519:
2518:
2486:
2481:
2480:
2447:
2442:
2441:
2395:
2390:
2389:
2344:Birnbaum–Orlicz
2293:
2292:
2244:
2243:
2221:
2177:Bounding points
2150:
2124:
2102:
2059:
1910:Banach manifold
1893:
1817:Gelfand–Naimark
1738:
1712:Spectral theory
1680:Banach algebras
1672:Operator theory
1666:
1627:Pseudo-monotone
1610:Hilbert–Schmidt
1590:Densely defined
1512:
1425:
1339:
1222:
1216:
1186:
1181:
1163:
1127:Advanced topics
1122:
1046:
1025:
984:
950:Hilbert–Schmidt
923:
914:Gelfand–Naimark
861:
811:
746:
732:
695:
693:
689:
674:
659:
630:
627:
626:
618:10.2307/1989788
598:
596:
592:
582:
580:
576:
571:
558:
487:
485:Generalizations
448:
447:
418:The case where
303:
302:
236:
235:
219:and a function
202:linear isometry
165:
133:Hausdorff space
126:
23:
22:
15:
12:
11:
5:
2712:
2710:
2702:
2701:
2696:
2691:
2681:
2680:
2674:
2673:
2671:
2670:
2665:
2660:
2655:
2650:
2644:
2642:
2638:
2637:
2635:
2634:
2622:
2617:
2613:
2609:
2606:
2603:
2600:
2588:
2583:
2582:
2581:
2571:
2569:Sequence space
2566:
2558:
2545:
2540:
2535:
2530:
2526:
2514:
2513:
2512:
2507:
2493:
2489:
2470:
2469:
2468:
2454:
2450:
2431:
2419:
2416:
2413:
2408:
2405:
2402:
2398:
2385:
2377:
2372:
2359:
2354:
2346:
2341:
2329:
2325:
2321:
2316:
2311:
2308:
2305:
2301:
2288:
2280:
2275:
2263:
2260:
2257:
2254:
2251:
2240:
2231:
2229:
2223:
2222:
2220:
2219:
2209:
2204:
2199:
2194:
2189:
2184:
2179:
2174:
2164:
2158:
2156:
2152:
2151:
2149:
2148:
2143:
2138:
2133:
2128:
2120:
2106:
2098:
2093:
2088:
2083:
2078:
2073:
2067:
2065:
2061:
2060:
2058:
2057:
2047:
2046:
2045:
2040:
2035:
2025:
2024:
2023:
2018:
2013:
2003:
2002:
2001:
1996:
1991:
1986:
1984:Gelfand–Pettis
1981:
1976:
1966:
1965:
1964:
1959:
1954:
1949:
1944:
1934:
1929:
1924:
1919:
1918:
1917:
1907:
1901:
1899:
1895:
1894:
1892:
1891:
1886:
1881:
1876:
1871:
1866:
1861:
1856:
1851:
1846:
1841:
1836:
1835:
1834:
1824:
1819:
1814:
1809:
1804:
1799:
1794:
1789:
1784:
1779:
1774:
1769:
1764:
1759:
1757:Banach–Alaoglu
1754:
1752:Anderson–Kadec
1748:
1746:
1740:
1739:
1737:
1736:
1731:
1726:
1725:
1724:
1719:
1709:
1708:
1707:
1702:
1692:
1690:Operator space
1687:
1682:
1676:
1674:
1668:
1667:
1665:
1664:
1659:
1654:
1649:
1644:
1639:
1634:
1629:
1624:
1623:
1622:
1612:
1607:
1606:
1605:
1600:
1592:
1587:
1577:
1576:
1575:
1565:
1560:
1550:
1549:
1548:
1543:
1538:
1528:
1522:
1520:
1514:
1513:
1511:
1510:
1505:
1500:
1499:
1498:
1493:
1483:
1482:
1481:
1476:
1466:
1461:
1456:
1455:
1454:
1444:
1439:
1433:
1431:
1427:
1426:
1424:
1423:
1418:
1413:
1412:
1411:
1401:
1396:
1391:
1390:
1389:
1378:Locally convex
1375:
1374:
1373:
1363:
1358:
1353:
1347:
1345:
1341:
1340:
1338:
1337:
1330:Tensor product
1323:
1317:
1312:
1306:
1301:
1295:
1290:
1285:
1275:
1274:
1273:
1268:
1258:
1253:
1251:Banach lattice
1248:
1247:
1246:
1236:
1230:
1228:
1224:
1223:
1217:
1215:
1214:
1207:
1200:
1192:
1183:
1182:
1180:
1179:
1168:
1165:
1164:
1162:
1161:
1156:
1151:
1146:
1144:Choquet theory
1141:
1136:
1130:
1128:
1124:
1123:
1121:
1120:
1110:
1105:
1100:
1095:
1090:
1085:
1080:
1075:
1070:
1065:
1060:
1054:
1052:
1048:
1047:
1045:
1044:
1039:
1033:
1031:
1027:
1026:
1024:
1023:
1018:
1013:
1008:
1003:
998:
996:Banach algebra
992:
990:
986:
985:
983:
982:
977:
972:
967:
962:
957:
952:
947:
942:
937:
931:
929:
925:
924:
922:
921:
919:Banach–Alaoglu
916:
911:
906:
901:
896:
891:
886:
881:
875:
873:
867:
866:
863:
862:
860:
859:
854:
849:
847:Locally convex
844:
830:
825:
819:
817:
813:
812:
810:
809:
804:
799:
794:
789:
784:
779:
774:
769:
764:
758:
752:
748:
747:
733:
731:
730:
723:
716:
708:
702:
701:
661:Banach, Stefan
657:
639:(2): 285–294.
625:
624:
611:(3): 375–481.
597:Theorem 83 of
590:
581:Théorème 3 of
573:
572:
570:
567:
566:
565:
557:
554:
486:
483:
470:
467:
464:
461:
458:
455:
416:
415:
404:
401:
398:
395:
392:
389:
386:
383:
380:
377:
374:
364:
361:
358:
355:
352:
349:
346:
343:
340:
337:
334:
331:
328:
325:
322:
319:
316:
313:
310:
296:
295:
284:
281:
278:
268:
265:
261:
257:
254:
251:
248:
244:
189:) →
163:
125:
122:
52:Marshall Stone
45:mathematicians
24:
14:
13:
10:
9:
6:
4:
3:
2:
2711:
2700:
2697:
2695:
2692:
2690:
2687:
2686:
2684:
2669:
2666:
2664:
2661:
2659:
2656:
2654:
2651:
2649:
2646:
2645:
2643:
2639:
2633:
2615:
2611:
2607:
2604:
2598:
2589:
2587:
2584:
2580:
2577:
2576:
2575:
2572:
2570:
2567:
2565:
2564:
2559:
2557:
2543:
2538:
2528:
2524:
2515:
2511:
2508:
2506:
2487:
2478:
2477:
2476:
2475:
2471:
2467:
2448:
2439:
2438:
2437:
2436:
2432:
2430:
2406:
2403:
2400:
2396:
2386:
2384:
2383:
2378:
2376:
2373:
2371:
2369:
2365:
2360:
2358:
2355:
2353:
2352:
2347:
2345:
2342:
2340:
2314:
2309:
2306:
2303:
2299:
2289:
2287:
2286:
2281:
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2214:
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2205:
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2200:
2198:
2195:
2193:
2190:
2188:
2187:Extreme point
2185:
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2180:
2178:
2175:
2173:
2169:
2165:
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2159:
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2066:
2064:Types of sets
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2055:
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2044:
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2036:
2034:
2031:
2030:
2029:
2026:
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2019:
2017:
2014:
2012:
2009:
2008:
2007:
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1997:
1995:
1992:
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1955:
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1945:
1943:
1940:
1939:
1938:
1935:
1933:
1930:
1928:
1927:Convex series
1925:
1923:
1922:Bochner space
1920:
1916:
1913:
1912:
1911:
1908:
1906:
1903:
1902:
1900:
1896:
1890:
1887:
1885:
1882:
1880:
1877:
1875:
1874:Riesz's lemma
1872:
1870:
1867:
1865:
1862:
1860:
1859:Mazur's lemma
1857:
1855:
1852:
1850:
1847:
1845:
1842:
1840:
1837:
1833:
1830:
1829:
1828:
1825:
1823:
1820:
1818:
1815:
1813:
1812:Gelfand–Mazur
1810:
1808:
1805:
1803:
1800:
1798:
1795:
1793:
1790:
1788:
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1471:
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1434:
1432:
1428:
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1402:
1400:
1397:
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1372:
1369:
1368:
1367:
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1359:
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1349:
1348:
1346:
1342:
1335:
1331:
1327:
1324:
1322:
1318:
1316:
1313:
1311:) convex
1310:
1307:
1305:
1302:
1300:
1296:
1294:
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1286:
1284:
1280:
1276:
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1269:
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1259:
1257:
1256:Grothendieck
1254:
1252:
1249:
1245:
1242:
1241:
1240:
1237:
1235:
1232:
1231:
1229:
1225:
1220:
1213:
1208:
1206:
1201:
1199:
1194:
1193:
1190:
1178:
1170:
1169:
1166:
1160:
1157:
1155:
1152:
1150:
1149:Weak topology
1147:
1145:
1142:
1140:
1137:
1135:
1132:
1131:
1129:
1125:
1118:
1114:
1111:
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1101:
1099:
1096:
1094:
1091:
1089:
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1084:
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1079:
1076:
1074:
1073:Index theorem
1071:
1069:
1066:
1064:
1061:
1059:
1056:
1055:
1053:
1049:
1043:
1040:
1038:
1035:
1034:
1032:
1030:Open problems
1028:
1022:
1019:
1017:
1014:
1012:
1009:
1007:
1004:
1002:
999:
997:
994:
993:
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902:
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753:
749:
744:
740:
736:
729:
724:
722:
717:
715:
710:
709:
706:
692:on 2014-01-11
688:
684:
680:
672:
668:
667:
662:
658:
654:
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642:
638:
634:
629:
628:
619:
614:
610:
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602:
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578:
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568:
563:
560:
559:
555:
553:
549:
547:
543:
538:
536:
532:
528:
524:
520:
516:
512:
508:
504:
500:
497:with trivial
496:
492:
484:
482:
465:
459:
456:
453:
445:
442:to show that
441:
437:
433:
429:
428:metric spaces
425:
421:
402:
396:
390:
387:
384:
381:
378:
375:
372:
356:
350:
344:
338:
332:
329:
323:
314:
311:
301:
300:
299:
282:
279:
276:
266:
263:
252:
246:
234:
233:
232:
230:
226:
223: ∈
222:
218:
215: →
214:
211: :
210:
207:
206:homeomorphism
203:
200:
196:
192:
188:
184:
181: :
180:
176:
172:
167:
161:
160:supremum norm
157:
153:
149:
146:) denote the
145:
141:
137:
134:
131:
123:
121:
119:
115:
111:
107:
103:
99:
95:
91:
87:
83:
79:
75:
71:
67:
63:
60:
55:
53:
49:
48:Stefan Banach
46:
42:
38:
34:
30:
19:
2641:Applications
2562:
2473:
2434:
2381:
2367:
2363:
2350:
2284:
2236:
2123:Linear cone
2116:
2112:
2101:Convex cone
1994:Paley–Wiener
1854:Mackey–Arens
1844:Krein–Milman
1797:Closed range
1792:Closed graph
1762:Banach–Mazur
1642:Self-adjoint
1546:sesquilinear
1279:Polynomially
1219:Banach space
1139:Balanced set
1113:Distribution
1051:Applications
904:Krein–Milman
889:Closed graph
694:. Retrieved
687:the original
670:
665:
636:
632:
608:
604:
593:
584:
577:
562:Banach space
550:
545:
541:
539:
530:
526:
522:
518:
514:
510:
506:
502:
495:Banach space
490:
488:
443:
431:
426:are compact
423:
419:
417:
297:
228:
224:
220:
216:
212:
208:
194:
190:
186:
182:
178:
174:
170:
168:
155:
148:Banach space
143:
139:
135:
127:
117:
113:
109:
105:
101:
97:
93:
85:
81:
77:
73:
69:
65:
61:
56:
32:
26:
2362:Continuous
2197:Linear span
2182:Convex hull
2162:Affine hull
2021:holomorphic
1957:holomorphic
1937:Derivatives
1827:Hahn–Banach
1767:Banach–Saks
1685:C*-algebras
1652:Trace class
1615:Functionals
1503:Ultrastrong
1416:Quasinormed
1068:Heat kernel
1058:Hardy space
965:Trace class
879:Hahn–Banach
841:Topological
499:centralizer
29:mathematics
2683:Categories
2115:), and (Hw
2016:continuous
1952:functional
1700:C*-algebra
1585:Continuous
1447:Dual space
1421:Stereotype
1399:Metrizable
1326:Projective
1001:C*-algebra
816:Properties
696:2020-07-11
683:0005.20901
569:References
298:such that
199:surjective
177:, suppose
2574:Sobolev W
2517:Schwartz
2492:∞
2453:∞
2449:ℓ
2415:Ω
2401:λ
2259:Σ
2141:Symmetric
2076:Absorbing
1989:regulated
1969:Integrals
1822:Goldstine
1657:Transpose
1594:Fredholm
1464:Ultraweak
1452:Dual norm
1383:Seminorms
1351:Barrelled
1321:Injective
1309:Uniformly
1283:Reflexive
975:Unbounded
970:Transpose
928:Operators
857:Separable
852:Reflexive
837:Algebraic
823:Barrelled
645:0379-4024
457:−
388:∈
376:∈
351:φ
280:∈
152:functions
124:Statement
88:with the
2510:weighted
2380:Hilbert
2357:Bs space
2227:Examples
2192:Interior
2168:Relative
2146:Zonotope
2125:(subset)
2103:(subset)
2054:Strongly
2033:Lebesgue
2028:Measures
1898:Analysis
1744:Theorems
1695:Spectrum
1620:positive
1603:operator
1541:operator
1531:Bilinear
1496:operator
1479:operator
1459:Operator
1356:Complete
1304:Strictly
1177:Category
989:Algebras
871:Theorems
828:Complete
797:Schwartz
743:glossary
663:(1932).
556:See also
436:isometry
90:spectrum
2375:Hardy H
2278:c space
2215:)
2170:)
2091:Bounded
1979:Dunford
1974:Bochner
1947:Gateaux
1942:Fréchet
1717:of ODEs
1662:Unitary
1637:Nuclear
1568:Compact
1558:Bounded
1526:Adjoint
1366:Fréchet
1361:F-space
1332: (
1328:)
1281:)
1261:Hilbert
1234:Asplund
980:Unitary
960:Nuclear
945:Compact
940:Bounded
935:Adjoint
909:Min–max
802:Sobolev
787:Nuclear
777:Hilbert
772:Fréchet
737: (
653:2242851
533:) is a
529:;
521:) onto
517:;
231:) with
197:) is a
130:compact
2291:Besov
2131:Radial
2096:Convex
2081:Affine
2050:Weakly
2043:Vector
1915:bundle
1705:radius
1632:Normal
1598:kernel
1563:Closed
1486:Strong
1404:Normed
1394:Mackey
1239:Banach
1221:topics
955:Normal
792:Orlicz
782:Hölder
762:Banach
751:Spaces
739:topics
681:
673:]
651:
643:
209:φ
138:, let
128:For a
31:, the
2366:with
2213:Quasi
2207:Polar
2011:Borel
1962:quasi
1491:polar
1474:polar
1288:Riesz
767:Besov
690:(PDF)
675:(PDF)
669:[
493:is a
2364:C(K)
1999:weak
1536:form
1469:Weak
1442:Dual
1409:norm
1371:tame
1244:list
1115:(or
833:Dual
641:ISSN
505:and
501:and
422:and
173:and
120:)*.
50:and
1581:Dis
679:Zbl
613:doi
162:‖·‖
154:on
92:of
39:on
27:In
2685::
2351:BV
2285:BK
2237:AC
2119:))
2052:/
1554:Un
741:–
649:MR
647:.
637:55
635:.
609:41
607:.
603:.
548:.
537:.
166:.
54:.
2621:)
2616:p
2612:L
2608:,
2605:X
2602:(
2599:W
2563:F
2544:)
2539:n
2534:R
2529:(
2525:S
2488:L
2474:L
2435:ℓ
2418:)
2412:(
2407:p
2404:,
2397:L
2382:H
2368:K
2328:)
2324:R
2320:(
2315:s
2310:q
2307:,
2304:p
2300:B
2262:)
2256:(
2253:a
2250:b
2211:(
2166:(
2117:x
2113:x
1583:)
1579:(
1556:)
1552:(
1385:/
1336:)
1319:(
1299:B
1297:(
1277:(
1211:e
1204:t
1197:v
1119:)
843:)
839:/
835:(
745:)
727:e
720:t
713:v
699:.
655:.
621:.
615::
546:X
542:X
531:E
527:Y
525:(
523:C
519:E
515:X
513:(
511:C
507:Y
503:X
491:E
469:)
466:0
463:(
460:T
454:T
444:T
432:T
424:Y
420:X
403:.
400:)
397:X
394:(
391:C
385:f
382:,
379:Y
373:y
363:)
360:)
357:y
354:(
348:(
345:f
342:)
339:y
336:(
333:g
330:=
327:)
324:y
321:(
318:)
315:f
312:T
309:(
283:Y
277:y
267:1
264:=
260:|
256:)
253:y
250:(
247:g
243:|
229:Y
227:(
225:C
221:g
217:X
213:Y
195:Y
193:(
191:C
187:X
185:(
183:C
179:T
175:Y
171:X
164:∞
156:X
144:X
142:(
140:C
136:X
118:X
116:(
114:C
110:X
106:X
104:(
102:C
98:X
96:(
94:C
86:X
82:X
80:(
78:C
74:X
70:X
68:(
66:C
62:X
20:)
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