Table of contents for Completely bounded maps and operator algebras / Vern Paulsen.

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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. Further results on injectivity.