Operator Algebras and Applications

1997
ISBN: 978-0-7923-4625-8
Verlag: Springer Netherlands

Buch, Englisch, Band 495, 467 Seiten, HC runder Rücken kaschiert, Format (B × H): 160 mm x 241 mm, Gewicht: 1880 g

Reihe: Nato Science Series C:

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.

Zielgruppe

Research

Autoren/Hrsg.

Katavolos, A.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Moderne Anwendungen der Analysis
• Mathematik | Informatik Mathematik Algebra Homologische Algebra
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis
• Mathematik | Informatik Mathematik Mathematische Analysis Harmonische Analysis, Fourier-Mathematik

Inhaltsverzeichnis

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.