Hankelian Schur multipliers. Herz-Schur multipliers
In this short chapter, we discuss Schur multipliers restricted to various subspaces E ⊂ B(H). We first discuss the case when H = ℓ2 and E is the sub-class of all Hankel matrices. We show that the Schur multipliers which are completely bounded maps from E
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Lecture Notes in Mathematics Editors: A. Dold, Heidelberg F. Takens, Groningen
1618
Springer-Verlag Berlin Heidelberg GmbH
Gilles Pisier
Similarity Problems and Completely Bounded Maps
Springer
Author Gilles Pisier Mathematics Department Texas A&M University College Station, TX 77843, USA and Equipe d' Analyse Universite Paris VI Case 186, 4 Place Jussieu F-75252 Paris Cedex 05, France E-mail: [email protected]
Cataloging-in-Publication Data applied for Die Deutsche Bibliothek - CIP-Einheitsaufnahme Pisier, Gilles:
Similarity problems and completely bounded maps 1 Gilles Pisier. (Lecture notes in mathematics ; 1618) ISBN 978-3-540-60322-1 ISBN 978-3-662-21537-1 (eBook) DOI 10.1007/978-3-662-21537-1 NE:GT
Mathematics Subject Classification (1991): Primary: 47A05, 46L05, 43A65 Secondary:47A20,47B10,42B30,46E40,46L57,47C15,47D50 ISBN 978-3-540-60322-1 This work is subject to copyright. AII rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, re-use of illustrations, recitation, broadcasting, reproduction on microfilms or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitte
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