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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| Médium: | Livre numérique |
| Jazyk: | Anglais |
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| Edice: | Lecture notes in mathematics
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| 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 |
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| 100 | 1 | |a Pisier, Gilles, |d 1950-...., |c mathématicien. | |
| 245 | 1 | 0 | |a Similarity Problems and Completely Bounded Maps |c Gilles Pisier. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1618 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a 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. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 algebra. We describe them in detail in the introduction which follows. This volume is devoted to the background necessary to understand these three problems, to the solutions that are known in some special cases and to numerous related concepts, results, counterexamples or extensions which their investigation has generated. While the three problems seem different, it is possible to place them in a common framework using the key concept of "complete boundedness", which we present in detail. Using this notion, the three problems can all be formulated as asking whether "boundedness" implies "complete boundedness" for linear maps satisfying certain additional algebraic identities. Two chapters have been added on the HALMOS and KADISON similarity problems. | ||
| 650 | |a Opérateurs linéaires | ||
| 650 | |a C*-algèbres | ||
| 650 | |a Applications (mathématiques) | ||
| 650 | |a Hilbert, Espaces de | ||
| 650 | |a Analyse harmonique (mathématiques) | ||
| 650 | |a Mathématiques | ||
| 776 | 0 | |0 058081828 |t Similarity problems and completely bounded maps |o Includes the solution to "The Halmos problem" |f Gilles Pisier |e 2e édition augmentée |d 2001 |c Berlin |n Springer |p 1 vol. (VI-198 p.) |s Lecture notes in mathematics |z 978-3-540-41524-4 | |
| 776 | 0 | |t Similarity Problems and Completely Bounded Maps |b Texte imprimé |z 9783662195246 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/b55674 |z Accès sur la plateforme de l'éditeur | |
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| 856 | 4 | |5 452349901:750658517 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/b55674 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:754008258 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/b55674 |z Accès INSA CVL | |
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