The Metric Theory of Tensor Products: Grothendieck's Resume Revisited - Hardcover

Diestel, Joe; Fourie, Jan H.; Swart, Johan

Hardcover

ISBN 10: 0821844407 ISBN 13: 9780821844403

Verlag: American Mathematical Society, 2008

Inhaltsangabe

Book by Joe Diestel Jan H Fourie and Johan Swart

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Reseña del editor:

Grothendieck's Resume is a landmark in functional analysis. Despite having appeared more than a half century ago, its techniques and results are still not widely known nor appreciated. This is due, no doubt, to the fact that Grothendieck included practically no proofs, and the presentation is based on the theory of the very abstract notion of tensor products. This book aims at providing the details of Grothendieck's constructions and laying bare how the important classes of operators are a consequence of the abstract operations on tensor norms. Particular attention is paid to how the classical Banach spaces ($C(K)$'s, Hilbert spaces, and the spaces of integrable functions) fit naturally within the mosaic that Grothendieck constructed.

Über diese Auflage

• Verlag: American Mathematical Society
• Erscheinungsdatum: 2008
• ISBN 10: 0821844407
• ISBN 13: 9780821844403
• Einband: Tapa dura
• Anzahl der Seiten: 287