ENGLISH

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

By Joe Diestel , Jan H. Fourie , Johan Swart

Book information

Publisher
American Mathematical Society
Year
2008
ISBN
0821844407, 9780821844403
LCC
QA322.2 .D533 2008
Google Books ID
VBg5cGSngRoC
Open Library ID
OL16365838M
Language
english
Format
DJVU
Filesize
3 MB (2834515 bytes)
Pages
290\290
Orientation
no
Scanned
yes
Time added
2012-02-04 16:00:00

Description

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.

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