Richard Kadison

Richard Kadison
Born	July 25, 1925[1]
Nationality	American
Fields	Mathematics
Institutions	University of Pennsylvania
Alma mater	University of Chicago
Doctoral advisor	Marshall Harvey Stone
Doctoral students	James Glimm Richard Lashof Erling Størmer Gert Pedersen Marc Rieffel
Notable awards	Steele Prize (1999)

Richard V. Kadison (b. July 25, 1925^[1][2]) is an American mathematician known for his contributions to the study of operator algebras. He is a Gustave C. Kuemmerle Professor in the Department of Mathematics of the University of Pennsylvania.^[3]

Kadison is a member of the U.S. National Academy of Sciences (elected in 1996),^[4][5] and a foreign member of the Royal Danish Academy of Sciences and Letters^[2] and of the Norwegian Academy of Science and Letters.^[6] He is a 1969 Guggenheim Fellow.^[7]

Richard Kadison was awarded the 1999 Leroy P. Steele Prize for Lifetime Achievement by the American Mathematical Society.^[3][8] In 2012 he became a fellow of the American Mathematical Society.^[9]

Dick Kadison was a skilled gymnast with a specialty in rings. He married Karen M. Holm on June 5, 1956, and they have one son, Lars.

Selected publications

Books

• with John Ringrose: Fundamentals of the theory of operator algebras. 2 vols., Academic Press 1983; new edition, Fundamentals of the theory of operator algebras: Elementary theory, Vol. 1, 1997 Fundamentals of the theory of operator algebras: Advanced theory, Vol. 2, 1997 AMS 1997^[10][11]
• with John Ringrose: Fundamentals of the theory of operator algebras, III-IV. An exercise approach, Birkhäuser, Basel, III: 1991, xiv+273 pp., ISBN 0-8176-3497-5; IV: 1992, xiv+586 pp., ISBN 0-8176-3498-3^[12][13][14]

PNAS articles

• "On representations of finite type". Proc Natl Acad Sci U S A. 95: 13392–6. 1998. doi:10.1073/pnas.95.23.13392. PMC 24829. PMID 9811810.
• with I. M. Singer: "Some Remarks on Representations of Connected Groups". Proc Natl Acad Sci U S A. 38: 419–23. 1952. doi:10.1073/pnas.38.5.419. PMC 1063576. PMID 16589115.
• with Bent Fuglede: "On a Conjecture of Murray and von Neumann". Proc Natl Acad Sci U S A. 37: 420–5. 1951. doi:10.1073/pnas.37.7.420. PMC 1063392. PMID 16578376.
• with Zhe Liu: "A note on derivations of Murray–von Neumann algebras". Proc Natl Acad Sci U S A. 111: 2087–93. 2014. doi:10.1073/pnas.1321358111. PMC 3926033. PMID 24469831.
• "The Pythagorean Theorem: II. The infinite discrete case". Proc Natl Acad Sci U S A. 99: 5217–22. 2002. doi:10.1073/pnas.032677299. PMC 122749. PMID 16578869.
• "The Pythagorean Theorem: I. The finite case". Proc Natl Acad Sci U S A. 99: 4178–84. 2002. doi:10.1073/pnas.032677199. PMC 123622. PMID 11929992.
• "Irreducible Operator Algebras". Proc Natl Acad Sci U S A. 43: 273–6. 1957. doi:10.1073/pnas.43.3.273. PMC 528430. PMID 16590013.
• "On the Additivity of the Trace in Finite Factors". Proc Natl Acad Sci U S A. 41: 385–7. 1955. doi:10.1073/pnas.41.6.385. PMC 528101. PMID 16589685.
• "Multiplicity Theory for Operator Algebras". Proc Natl Acad Sci U S A. 41: 169–73. 1955. doi:10.1073/pnas.41.3.169. PMC 528046. PMID 16589638.
• with Bent Fuglede: "On Determinants and a Property of the Trace in Finite Factors". Proc Natl Acad Sci U S A. 37: 425–31. 1951. doi:10.1073/pnas.37.7.425. PMC 1063393. PMID 16578377.

Mathematical work

• Kadison–Kaplansky conjecture
• Kadison's inequality
• Kadison–Singer problem^[15]
• Kadison transitivity theorem
• Kadison–Sakai theorem
• Kadison–Kastler metric

References

1. "Library of Congress Name Authority File". Library of Congress.
2. Foreign Members list. Royal Danish Academy of Sciences and Letters. Accessed January 12, 2010
3. Richard Kadison wins 1999 AMS Steele Prize. Department of Mathematics, University of Pennsylvania. Accessed January 12, 2010.
4. Kadison, Richard V., U.S. National Academy of Sciences. Accessed January 12, 2010. Election citation: "Kadison has been the principal figure in the American school of study of operator algebras in Hilbert space since the Second World War and one of the central leaders of the world development leading to applications in quantum field theory, statistical mechanics, noncommutative geometry, and knot theory."
5. National Academy of Sciences Elects New Members. Science, 10 May 1996, Vol. 272. no. 5263, pp. 808; doi:10.1126/science.272.5263.808
6. Academy members list, Mathematical Sciences, Norwegian Academy of Science and Letters. Accessed January 12, 2010.
7. Guggenheim Fellow list, John Simon Guggenheim Memorial Foundation. Accessed January 12, 2010.
8. "1999 Steele Prizes" (PDF). Notices of the American Mathematical Society. 46 (4): 457–462. 1999.
9. List of Fellows of the American Mathematical Society, retrieved 2013-01-27.
10. Fundamentals of the Theory of Operator Algebras. Volume I, AMS website
11. Fundamentals of the Theory of Operator Algebras. Volume II, AMS website
12. Pedersen, Gert K. (1994). "Review of Fundamentals of the theory of operator algebras, III-IV. An exercise approach by Richard Kadison and John Ringrose" (PDF). Bull. Amer. Math. Soc. (N.S.). 31 (2): 275–277. doi:10.1090/s0273-0979-1994-00531-2.
13. Fundamentals of the Theory of Operator Algebras. Volume III, AMS website
14. Fundamentals of the Theory of Operator Algebras. Volume IV, AMS website
15. Kadison–Singer Conjecture Succumbs to Proof | Mathematical Association of America

External links

• Richard Kadison at the Mathematics Genealogy Project