Similarity Problems and Completely Bounded Maps
These notes revolve around three similarity problems, appearing in three different contexts, but all dealing with the space B(H) of all bounded operators on a complex Hilbert space H. The first one deals with group representations, the second one with C* -algebras and the third one with the disc alg...
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| Hlavní autor: | |
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| Médium: | Livre numérique |
| Jazyk: | Anglais |
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Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Edice: | Lecture notes in mathematics
1618 |
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Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Similarity problems and completely bounded maps, Includes the solution to "The Halmos problem", Gilles Pisier, 2e édition augmentée, 2001, Berlin, Springer, 1 vol. (VI-198 p.), Lecture notes in mathematics, 978-3-540-41524-4 • Similarity Problems and Completely Bounded Maps, Texte imprimé, 9783662195246 |
Obsah:
- Introduction. Description of contents
- Von Neumann's inequality and Ando's generalization
- Non-unitarizable uniformly bounded group representations
- Completely bounded maps
- Completely bounded homomorphisms and derivations
- Schur multipliers and Grothendieck's inequality
- Hankelian Schur multipliers. Herz-Schur multipliers
- The similarity problem for cyclic homomorphisms on a C*-algebra
- Completely bounded maps in the Banach space setting
- The Sz
- Nagy-Halmos similarity problem
- The Kadison Similarity Problem
- References
- Subject Index
- Notation Index.