Ebook: Operator Algebras and Applications

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.

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Content:
Front Matter....Pages i-xi
Path Spaces, Continuous Tensor Products, and E 0-Semigroups....Pages 1-111
Some General Theory of Operator Algebras and Their Modules....Pages 113-143
Polynomially Bounded Operators, A Survey....Pages 145-162
Operator Analogues of Locally Convex Spaces....Pages 163-207
Basis Theory and Operator Algebras....Pages 209-223
Reflexivity, Supports and Spectral Synthesis....Pages 225-243
Geometric Aspects of the Theory of Nest Algebras....Pages 245-254
Finitely-Presented C*-Algebras....Pages 255-266
Von Neumann Algebras and Wavelets....Pages 267-312
A Finite Dimensional Introduction to Operator Algebra....Pages 313-354
The Pythagoreans: From Harmony to the Irrational....Pages 355-387
Relative Yoneda Cohomology for Operator Spaces: an Overview....Pages 389-401
Partly Self-Adjoint Limit Algebras....Pages 403-428
Operator Algebras Over C*-Correspondences....Pages 429-448
Conditional Expectations and Projection Maps of von Neumann Algebras....Pages 449-461
Back Matter....Pages 463-467

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Content:
Front Matter....Pages i-xi
Path Spaces, Continuous Tensor Products, and E 0-Semigroups....Pages 1-111
Some General Theory of Operator Algebras and Their Modules....Pages 113-143
Polynomially Bounded Operators, A Survey....Pages 145-162
Operator Analogues of Locally Convex Spaces....Pages 163-207
Basis Theory and Operator Algebras....Pages 209-223
Reflexivity, Supports and Spectral Synthesis....Pages 225-243
Geometric Aspects of the Theory of Nest Algebras....Pages 245-254
Finitely-Presented C*-Algebras....Pages 255-266
Von Neumann Algebras and Wavelets....Pages 267-312
A Finite Dimensional Introduction to Operator Algebra....Pages 313-354
The Pythagoreans: From Harmony to the Irrational....Pages 355-387
Relative Yoneda Cohomology for Operator Spaces: an Overview....Pages 389-401
Partly Self-Adjoint Limit Algebras....Pages 403-428
Operator Algebras Over C*-Correspondences....Pages 429-448
Conditional Expectations and Projection Maps of von Neumann Algebras....Pages 449-461
Back Matter....Pages 463-467
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