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...
Κύριος συγγραφέας: | |
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Συγγραφή απο Οργανισμό/Αρχή: | |
Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
Γλώσσα: | English |
Έκδοση: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2001.
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Έκδοση: | 2nd ed. 2001. |
Σειρά: | Lecture Notes in Mathematics,
1618 |
Θέματα: | |
Διαθέσιμο Online: | Full Text via HEAL-Link |
Πίνακας περιεχομένων:
- 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.