Awards & Winners

William Arveson

Date of Birth 22-November-1934
Place of Birth Oakland
(California, United States of America, Area code 510)
Nationality United States of America
Also know as William B. Arveson
Profession Mathematician
William Arveson was a mathematician specializing in operator algebras who worked as a professor of Mathematics at the University of California, Berkeley. Arveson obtained his Ph. D. from UCLA in 1964. Of particular note is Arveson's work on completely positive maps. One of his earlier results in this area is an extension theorem for completely positive maps with values in the algebra of all bounded operators on a Hilbert space. This theorem led naturally to the question of injectivity of von-Neumann algebras in general, which culminated in work by Alain Connes relating injectivity to hyperfiniteness. One of the major features of Arveson's work was the use of algebras of operators to elucidate single operator theory. In a series of papers in the 60's and 70's, Arveson introduced noncommutative analogues of several concepts from classical harmonic analysis including the Shilov and Choquet boundaries and used them very successfully in single operator theory. In a highly cited paper, Arveson made a systematic study of commutative subspace lattices, which yield a large class of nonselfadjoint operator algebras and proved among other results, the theorem that a transitive algebra containing a maximal abelian von Neumann subalgebra in B must be trivial.

Awards by William Arveson

Check all the awards nominated and won by William Arveson.