Background
Arveson, William Barnes was born on November 22, 1934 in Oakland, California, United States. Son of Ronald Magnus and Audrey Mary (Hichens) Arveson.
http://www.amazon.com/gp/product/B010WFKT4Y/?tag=2022091-20
( This book introduces the notion of an E-semigroup, a ge...)
This book introduces the notion of an E-semigroup, a generalization of the known concept of E_O-semigroup. These objects are families of endomorphisms of a von Neumann algebra satisfying certain natural algebraic and continuity conditions. Its thorough approach is ideal for graduate students and research mathematicians.
http://www.amazon.com/gp/product/0387001514/?tag=2022091-20
(This book presents the basic tools of modern analysis wit...)
This book presents the basic tools of modern analysis within the context of the fundamental problem of operator theory: to calculate spectra of specific operators on infinite dimensional spaces, especially operators on Hilbert spaces. The tools are diverse, and they provide the basis for more refined methods that allow one to approach problems that go well beyond the computation of spectra: the mathematical foundations of quantum physics, noncommutative K-theory, and the classification of simple C*-algebras being three areas of current research activity which require mastery of the material presented here.
http://www.amazon.com/gp/product/B008PMAFDM/?tag=2022091-20
(This book presents the basic tools of modern analysis wit...)
This book presents the basic tools of modern analysis within the context of the fundamental problem of operator theory: to calculate spectra of specific operators on infinite dimensional spaces, especially operators on Hilbert spaces. The tools are diverse, and they provide the basis for more refined methods that allow one to approach problems that go well beyond the computation of spectra: the mathematical foundations of quantum physics, noncommutative K-theory, and the classification of simple C*-algebras being three areas of current research activity which require mastery of the material presented here.
http://www.amazon.com/gp/product/0387953000/?tag=2022091-20
http://www.amazon.com/gp/product/B011DB5WTI/?tag=2022091-20
mathematician university professor
Arveson, William Barnes was born on November 22, 1934 in Oakland, California, United States. Son of Ronald Magnus and Audrey Mary (Hichens) Arveson.
Bachelor of Science in Math, California Institute of Technology, 1960. Master of Arts, University of California at Los Angeles, 1963. Doctor of Philosophy, University of California at Los Angeles, 1964.
Arveson obtained his Doctor of Philosophy from University of California, Los Angeles 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(H) must be trivial.
In the late 80"s and 90"s Arveson played a leading role in developing the theory of one-parameter semigoups of *-endomorphisms on von Neumann algebras - also known as East-semigroups.
(This book presents the basic tools of modern analysis wit...)
(This book presents the basic tools of modern analysis wit...)
( This book introduces the notion of an E-semigroup, a ge...)
Served with United States Navy, 1952-1955. Member American Mathematics Society (associate editor bulletin 1988-1991), Edinburgh Mathematics Society (associate editor proceedings since 1989).
Married Lee A. Kaskutas.
