Operator algebras and applications

著者

書誌事項

Operator algebras and applications

edited by Aristides Katavolos

（NATO ASI series, Series C . Mathematical and physical sciences ; no. 495）

Kluwer Academic, c1997

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注記

"Proceedings of the NATO Advanced Study Institute and Aegean Conference on Operator Algebras and Applications, Pythagorio, Samos, Greece, August 19-28, 1996"--T.p. verso

Proceedings from a meeting held in Pythagorio, Samos, Greece, Aug. 19-28, 1996

Includes index

内容説明・目次

内容説明

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.

目次

  • 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. Stormer. Index.

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