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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(H) must be trivial.
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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 1960s and 1970s, Arveson introduced
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In the late 80's and 90's, Arveson played a leading role in developing the theory of one-parameter semigroups of *-endomorphisms on
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including the Shilov and
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and proved that they are complete invariants of E-semigroups up to cocycle conjugacy.
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University of
California, Berkeley College of Letters and Science faculty
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Arveson, William (1974), "Operator algebras and invariant subspaces",
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Markiewicz, Daniel; Jorgensen, Palle E. T. (August 2015),
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Arveson, William B. (1969), "Subalgebras of C*-algebras",
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87:algebras in general, which culminated in work by
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174:A Short Course on Spectral Theory
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396:"William B. Arveson: A Tribute"
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125:Selected publications
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240:: 141–224,
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310:References
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369:1209.6294
58:Henry Dye
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