Operator Algebras and Applications

ISBN-13: 9780792346258 / Angielski / Twarda / 1997 / 467 str.

A. Katavolos; A. Katavolos; Aristides Katavolos

Opis

During the last few years, the theory of operator algebras, particularly non-self-adjoint operator algebras, has evolved dramatically, experiencing both international growth and interfacing with other important areas. The present volume presents a survey of some of the latest developments in the field in a form that is detailed enough to be accessible to advanced graduate students as well as researchers in the field.
Among the topics treated are: operator spaces, Hilbert modules, limit algebras, reflexive algebras and subspaces, relations to basis theory, C* algebraic quantum groups, endomorphisms of operator algebras, conditional expectations and projection maps, and applications, particularly to wavelet theory. The volume also features an historical paper offering a new approach to the Pythagoreans' discovery of irrational numbers.

Spis treści

Path Spaces, Continuous Tensor Products, and E0-Semigroups; W. Arveson. Some General Theory of Operator Algebras and Their Modules; D.P. Blecher. Polynomially Bounded Operators, a Survey; K.R. Davidson. Operator Analogues of Locally Convex Spaces; E.G. Effros, C. Webster. Basis Theory and Operator Algebras; J.A. Erdos. Reflexivity, Supports and Spectral Synthesis; A. Katavolos. Geometric Aspects of the Theory of Nest Algebras; E.G. Katsoulis. Finitely-Presented C*-Algebras; E.C. Lance. Von Neumann Algebras and Wavelets; D.R. Larson. A Finite Dimensional Introduction to Operator Algebra; P.S. Muhly. The Pythagoreans: From Harmony to the Irrational: S. Negrepontis. Relative Yoneda Cohomology for Operator Spaces: An Overview; V.I. Paulsen. Partly Self-Adjoint Limit Algebras; S.C. Power. Operator Algebras over C*-Correspondences; B. Solel. Conditional Expectations and Projection Maps of Von Neumann Algebras; E. Størmer. Index.