Vern I. Paulsen

Completely Bounded Maps and Operator Algebras

• Gebundenes Buch

Produktbeschreibung

This book tours the principal results and ideas in the theories of completely positive maps, completely bounded maps, dilation theory, operator spaces and operator algebras, along with some of their main applications. It requires only a basic background in functional analysis. The presentation is self-contained and paced appropriately for graduate students new to the subject. Experts will appreciate how the author illustrates the power of methods he has developed with new and simpler proofs of some of the major results in the area, many of which have not appeared earlier in the literature. An indispensible introduction to the theory of operator spaces.

Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 314
• Erscheinungstermin: 10. Juni 2013
• Englisch
• Abmessung: 235mm x 157mm x 21mm
• Gewicht: 610g
• ISBN-13: 9780521816694
• ISBN-10: 0521816696
• Artikelnr.: 22225143

Inhaltsangabe

1. Introduction
2. Positive maps
3. Completely positive maps
4. Dilation theorems
5. Commuting contractions
6. Completely positive maps into Mn
7. Arveson's extension theorems
8. Completely bounded maps
9. Completely bounded homomorphisms
10. Polynomially bounded operators
11. Applications to K-spectral sets
12. Tensor products and joint spectral sets
13. Operator systems and operator spaces
14. An operator space bestiary
15. Injective envelopes
16. Multipliers and operator algebras
17. Completely bounded multilinear maps
18. Applications of operator algebras
19. Similarity and factorization degree.