Completely bounded maps and operator algebras [E-Book] / Vern Paulsen.
Paulsen, Vern I., (author)
Cambridge : Cambridge University Press, 2002
1 online resource (xii, 300 pages)
englisch
9780521816694
9780511546631
Cambridge studies in advanced mathematics ; 78
Full Text
Table of Contents:
  • 1. Introduction
  • 2. Positive Maps
  • 3. Completely Positive Maps
  • 4. Dilation Theorems
  • 5. Commuting Contractions on Hilbert Space
  • 6. Completely Positive Maps into M[subscript n]
  • 7. Arveson's Extension Theorems
  • 8. Completely Bounded Maps
  • 9. Completely Bounded Homomorphisms
  • 10. Polynomially Bounded and Power-Bounded Operators
  • 11. Applications to K-Spectral Sets
  • 12. Tensor Products and Joint Spectral Sets
  • 13. Abstract Characterizations of Operator Systems and Operator Spaces
  • 14. An Operator Space Bestiary
  • 15. Injective Envelopes
  • 16. Abstract Operator Algebras
  • 17. Completely Bounded Multilinear Maps and the Haagerup Tensor Norm
  • 18. Universal Operator Algebras and Factorization
  • 19. Similarity and Factorization.