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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Κύριος συγγραφέας: Pisier, Gilles (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2001.
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.