RT Book, Whole DB /z-wcorg/ DS http://worldcat.org ID 185095773 LA English T1 The metric theory of tensor products : Grothendieck's résumé revisited A1 Diestel, Joe,, Grothendieck, A., Fourie, Jan H.,, Swart, J., PB American Mathematical Society PP Providence, R.I. YR 2008 SN 9780821844403 0821844407 AB "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."--Jacket.