Pub. Date:
American Mathematical Society
The Metric Theory of Tensor Products: Grothendieck's Résumé Revisited

The Metric Theory of Tensor Products: Grothendieck's Résumé Revisited


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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.

Product Details

ISBN-13: 9780821844403
Publisher: American Mathematical Society
Publication date: 06/12/2008
Edition description: New Edition
Pages: 278
Product dimensions: 7.10(w) x 10.20(h) x 0.80(d)

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