William Arveson

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William Arveson

William Barnes Arveson (born November 22, 1934 in Oakland , California , † November 15, 2011 in Berkeley ) was an American mathematician .

After serving in the US Navy from 1952 to 1956, Arveson studied at Caltech ( Bachelor 1960) and at UCLA , where he received his doctorate in 1964 under Henry Abel Dye ( Prediction theory and group representations ). At the same time he was from 1960 to 1964 mathematician in the underwater research center of the US Navy (US Naval Undersea Research Center) in Pasadena . From 1965 he was Assistant Professor at UCLA and 1968/69 Benjamin Peirce Instructor at Harvard University . From 1969 he was Associate Professor and from 1973 Professor at the University of Berkeley , where he has been Professor Emeritus since 2003. In 1985/86 and 1999/2000 he was Miller Research Professor there . In 1973/74 he was visiting professor at Aarhus University and also in Newcastle , Rio de Janeiro , Oslo , Canberra , Nankai , Tel Aviv , at the Mittag-Leffler Institute , in Trondheim , at the University of California, San Diego , and in Kyoto .

He dealt in particular with the algebra of operators in Hilbert spaces , representations of Banach algebras , ergodic theory and prediction theory . In the 1980s he dealt with non-commutative dynamics, especially semigroups of endomorphisms of operator algebras, as they occur in quantum mechanics in the time evolution of observables (represented by operators).

Since 1978 he has been co-editor of the Duke Mathematical Journal, since 1988 as main editor. From 1979 to 1988 he was co-editor of the Journal of Operator Theory.

In 1976/77 he was a Guggenheim Fellow .

Fonts

  • An invitation to C * Algebras , Springer Verlag, Graduate Texts in Mathematics, 1976, 1998
  • A short course on spectral theory , Springer Verlag, Graduate Texts in Mathematics, 2001
  • Noncommutative dynamics and E-Semigroups , Springer Verlag 2003
  • T. Branson, IE Segal Quantization, nonlinear partial differential equations and operator algebra , Proc. Symp. Pure Math. 59, American Mathematical Society 1996
  • Editor with RG Douglas Operator theory, operator algebras and applications , Proc. Symp. Pure Math. 51, 2 volumes, American Mathematical Society 1990
  • Editor with AS Mischenko, M. Putinar, MA Rieffel Operator algebras and topology , 2 volumes, Pitman Research Notes in Mathematics, Volume 270/271, 1992

Web links

Individual evidence

  1. ^ Obituary in the San Francisco Chronicle
  2. Life data according to American Men and Women of Science , Thomson Gale 2003
  3. ^ William Arveson in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / name used