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Operator Algebras and Applications

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概要 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.続きを見る
目次 1. Path Spaces, Continuous Tensor Products, and E0-Semigroups
2. Some General Theory of Operator Algebras and their Modules
3. Polynomially Bounded Operators, a Survey
4. Operator Analogues of Locally Convex Spaces
5. Basis Theory and Operator Algebras
6. Reflexivity, Supports and Spectral Synthesis
7. Geometric Aspects of the theory of Nest Algebras
8. Finitely-presented C*-algebras
9. von Neumann Algebras and Wavelets
10. A Finite Dimensional Introduction to Operator Algebra
11. The Pythagoreans: From Harmony to the Irrational
12. Relative Yoneda Cohomology for Operator Spaces: an Overview
13. Partly Self-adjoint Limit Algebras
14. Operator Algebras over C* -correspondences
15. Conditional Expectations and Projection Maps of von Neuman Algebras.
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登録日 2020.06.27
更新日 2020.06.28