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and related topics in the mid-1970s. Among many important contributions by Ed in this area, he and his collaborator, Man-Duen Choi, proved the equivalence of the nuclearity and the approximation of the identity map by completely positive finite rank maps for a
246:(UCLA), and in 1979 the family relocated to Los Angeles. Rita Brickman Effros received her Ph.D. in immunology from the University of Pennsylvania. Eventually, she became a professor of pathology and laboratory medicine at the
405:
and quantized functional analysis, from the mid-1980s onwards. It is my impression that Ed viewed this work as his most important contribution to mathematics, regarding it as the quantization of analysis
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Brinkman for 52 years. Their daughter Rachel Marian Effros (born 1969) became a pediatrician. Their son
Stephen David Effros (born 1972) became a senior project manager for Portland Public Schools in
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His contribution, from the mid-1960s to the mid-1970s, to consolidating and expanding the “Mackey philosophy” through his work on (for example) the Effros Borel Space of
423:. In June 2019 Edward and Rita relocated to Portland, but Edward died 6 months later. Upon his death he was survived by his wife, daughter, son, and two granddaughters.
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Dimension Groups in the early 1980s, where Ed and his coauthors David E. Handelman and Chao Liang Shen gave a beautiful characterization of the dimension groups of
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242:. Effros married Rita Brickman in 1967. Their two children, Rachel and Stephen, were born in Philadelphia. In 1980 Edward Effros became a full professor at the
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415:. Edward's identical twin, Richard M. Effros, graduated from NYU School of Medicine and became a pulmonologist. Edward was married to Rita
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265:. He was the author or coauthor of over 80 publications and supervised the doctoral dissertations of 16 students, including
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Edward's older brother, Robert
Carlton Effros (born 1933), became a lawyer and member of the legal department of the
323:-algebras, and the Operator Algebraic Structure Analysis of Compact Convex Sets (a significant contribution to the
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Proceedings of the
International Congress of Mathematicians, August 3–11, 1986, Berkeley, California
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Choi, Man-Duen; Effros, Edward G. (1976). "The
Completely Positive Lifting Problem for
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Alfsen, Erik M.; Effros, Edward G. (1972). "Structure in Real Banach Spaces. Part II".
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238:. Effros was a postdoc at Columbia University and then became a faculty member at the
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1347:"Obituary for Professor Edward G. Effros" by Masamichi Takesaki, pp. 1575–1576 of
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869:"On the Analogues of Integral Mappings and Local Reflexivity for Operator Spaces"
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Probably one can divide his mathematical achievements into the following areas:
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904:"Matrix Convexity: Operator Analogues of the Bipolar and Hahn–Banach Theorems"
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296:, the Direct Disintegration of von Neumann algebras and/or representations of
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for the academic year 1982–1983. In 1986 he was an invited speaker at the
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994:"A matrix convexity approach to some celebrated quantum inequalities"
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Effros, E. G. (1986). "Advances in quantized functional analysis".
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931:"Feynman diagrams and Wick products associated with q-Fock space"
250:. In 2013 Edward Effros retired from UCLA as professor emeritus.
195:. He finished his undergraduate study in three years at
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Ed Effros
Memorial Website, UCLA Mathematics Department
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Ed Effros
Memorial Website, UCLA Mathematics Department
1335:"List of Fellows of the American Mathematical Society"
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Effros, Edward G. (1965). "Transformation Groups and
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269:. He was elected to the 2014 Class of Fellows of the
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782:(1985). "Lifting problems and local reflexivity for
722:Choi, Man-Duen; Effros, Edward G. (1978). "Nuclear
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1066:. Aarhus: Aarhus Universitet, Matematisk Institut.
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690:Effros, Edward G.; Lance, E. Christopher (1977).
500:Transactions of the American Mathematical Society
496:"Structure in simplexes. III. Composition series"
155:) was an American mathematician, specializing in
585:Proceedings of the American Mathematical Society
998:Proceedings of the National Academy of Sciences
935:Proceedings of the National Academy of Sciences
282:
1464:University of California, Los Angeles faculty
8:
1449:Massachusetts Institute of Technology alumni
1358:Notices of the American Mathematical Society
1216:Notices of the American Mathematical Society
1291:(with publication list and links to papers)
867:Effros, Edward G.; Ruan, Zhong-Jin (1997).
838:Effros, Edward G.; Ruan, Zhong-Jin (1991).
749:-Algebras and the Approximation Property".
1074:Locally Compact Transformation Groups and
902:Effros, Edward G.; Winkler, Soren (1997).
663:Choi, Man-Duen; Effros, Edward G. (1977).
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1349:Jorgensen, Palle, ed. (November 2020).
1207:Jorgensen, Palle, ed. (November 2020).
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1071:Effros, Edward G.; Hahn, Frank (1967).
494:Effros, Edward G.; Gleit, Alan (1969).
248:David Geffen School of Medicine at UCLA
244:University of California at Los Angeles
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873:Indiana University Mathematics Journal
692:"Tensor products of operator algebras"
197:Massachusetts Institute of Technology
115:Massachusetts Institute of Technology
7:
1424:21st-century American mathematicians
1419:20th-century American mathematicians
840:"A New Approach to Operator Spaces"
1459:University of Pennsylvania faculty
1351:"Remembrances of Edward G. Effros"
1209:"Remembrances of Edward G. Effros"
567:
16:American mathematician (1935–2019)
14:
665:"Injectivity and operator spaces"
599:10.1090/S0002-9939-1975-0355626-6
513:10.1090/S0002-9947-1969-0247421-5
1444:People from Great Neck, New York
1323:. Vol. 2. pp. 900–905.
929:Effros, E. G.; Popa, M. (2003).
751:American Journal of Mathematics
1429:American mathematical analysts
908:Journal of Functional Analysis
845:Canadian Mathematical Bulletin
669:Journal of Functional Analysis
1:
1268:Mathematics Genealogy Project
823:10.1215/S0012-7094-85-05207-X
271:American Mathematical Society
1439:People from Queens, New York
714:10.1016/0001-8708(77)90085-8
682:10.1016/0022-1236(77)90052-0
199:and received his Ph.D. from
413:International Monetary Fund
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1119:Effros, Edward G. (1981).
1062:Effros, Edward G. (1965).
558:Effros, Edward G. (1975).
240:University of Pennsylvania
163:. His research included "
1454:Harvard University alumni
1172:. Clarendon Press. 2000.
886:10.1512/iumj.1997.46.1429
811:Duke Mathematical Journal
191:Edward Effros grew up in
134:
99:
1469:American identical twins
1244:"A tribute to Ed Effros"
267:Patricia Clark Kenschaft
1386:"Effros, Edward George"
1029:10.1073/pnas.0807965106
966:10.1073/pnas.1531460100
700:Advances in Mathematics
573:{\displaystyle \Gamma }
87:Rita Brickman (m. 1967)
1283:"Ed Effros: Biography"
1143:
1095:
1064:Structure in simplexes
992:Effros, E. G. (2009).
921:10.1006/jfan.1996.2958
859:10.4153/CMB-1991-053-x
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580:and inner amenability"
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205:On Representations of
173:descriptive set theory
1144:
1142:{\displaystyle C^{*}}
1096:
1094:{\displaystyle C^{*}}
804:
802:{\displaystyle C^{*}}
744:
742:{\displaystyle C^{*}}
636:Annals of Mathematics
629:
627:{\displaystyle C^{*}}
575:
531:Annals of Mathematics
467:Annals of Mathematics
460:
458:{\displaystyle C^{*}}
427:Selected publications
388:
386:{\displaystyle C^{*}}
356:
354:{\displaystyle C^{*}}
318:
316:{\displaystyle C^{*}}
227:
225:{\displaystyle C^{*}}
161:representation theory
151:– December 21, 2019,
43:Queens, New York City
1392:. December 29, 2019.
1264:Edward George Effros
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290:von Neumann algebras
263:Berkeley, California
209:
203:in 1962. His thesis
193:Great Neck, New York
143:(December 10, 1935,
141:Edward George Effros
23:Edward George Effros
1020:2009PNAS..106.1006E
957:2003PNAS..100.8629E
778:Effros, Edward G.;
331:Nuclear C*-algebras
181:quantum information
104:Academic background
1434:Operator theorists
1302:"Edward G. Effros"
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278:Masamichi Takesaki
234:was supervised by
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201:Harvard University
119:Harvard University
1364:(10): 1573–1587.
1222:(10): 1573–1587.
1179:978-0-19-853482-2
941:(15): 8629–8633.
255:Guggenheim Fellow
169:operator algebras
157:operator algebras
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53:December 21, 2019
39:December 10, 1935
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814:
810:
809:-algebras".
757:(1): 61–79.
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639:
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634:-algebras".
589:
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473:(1): 38–55.
470:
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465:-algebras".
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397:Riesz groups
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179:theory, and
177:Banach space
140:
139:
55:(2019-12-21)
1414:2019 deaths
1409:1935 births
914:: 117–152.
707:(1): 1–34.
506:: 355–379.
167:theory and
165:C*-algebras
68:Nationality
1403:Categories
1188:References
592:(2): 483.
560:"Property
361:-algebra .
110:Alma mater
76:Occupation
35:1935-12-10
1149:-Algebras
1135:∗
1101:-Algebras
1087:∗
1011:0802.1234
831:0012-7094
795:∗
735:∗
620:∗
568:Γ
522:0002-9947
451:∗
379:∗
347:∗
309:∗
253:He was a
232:-algebras
218:∗
187:Biography
1048:19164582
985:12857947
895:24899664
432:Articles
393:algebras
92:Children
71:American
1266:at the
1039:2633548
1016:Bibcode
953:Bibcode
771:2373876
656:1970968
551:1970896
487:1970381
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145:Queens
84:Spouse
1354:(PDF)
1212:(PDF)
1056:Books
1006:arXiv
943:arXiv
891:JSTOR
767:JSTOR
695:(PDF)
652:JSTOR
547:JSTOR
483:JSTOR
1174:ISBN
1154:ISBN
1106:ISBN
1044:PMID
981:PMID
827:ISSN
518:ISSN
159:and
50:Died
29:Born
1366:doi
1224:doi
1034:PMC
1024:doi
1002:106
971:PMC
961:doi
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916:doi
912:144
881:doi
854:doi
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475:doi
417:née
395:as
366:AF
327:) .
261:in
183:."
1405::
1388:.
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