William Arveson

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

Arveson studied, after he had served from 1952 to 1956 in the U.S. Navy, at Caltech (Bachelor 1960) and at UCLA, where he received his doctorate in 1964 at Henry Abel Dye ( Prediction theory and group representations ). At the same time, he was from 1960 to 1964 mathematicians in Underwater Research Center of the U.S. Navy (U.S. Naval Undersea Research Center) in Pasadena. From 1965 he was assistant professor at UCLA and in 1968/69 Benjamin Peirce Instructor at Harvard University. From 1969 he was an associate professor and from 1973 professor at the University of Berkeley, where since 2003 he is Professor Emeritus. 1985/86 and 1999/ 2000, he was there Miller Research Professor. In 1973/74 he was a visiting professor at the University of Aarhus 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 worked on noncommutative dynamics, specifically semigroup of endomorphisms of operator algebras, as they ( represented by operators) in quantum mechanics in the time evolution of observables occur.

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

1976/77 he was a Guggenheim Fellow.

Writings

  • 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- Semi Groups, Springer Verlag 2003
  • Published by T. Branson, IE Segal Quantization, nonlinear partial differential equations and operator algebra, Proc. Symp Pure Math 59, American Mathematical Society 1996
  • Publisher with RG Douglas operator theory, operator algebras and applications, Proc. Symp Pure Math 51, 2 volumes, American Mathematical Society 1990
  • Publisher with AS Mischenko, M. Putinar, MA Rieffel operator algebras and topology, 2 volumes, Pitman Research Notes in Mathematics, Vol 270/271, 1992
Berkeley, California Pasadena, California Nankai District Representation theory Irving Segal Mathematics Genealogy Project Integrated Authority File
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