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The Metric Theory of Tensor Products | 
 enlarge | Authors: Joe Diestel, Jan H. Fourie, And Johan Swart
Publisher: American Mathematical Society
Category: Book
Buy New: $79.00
New (5) from $79.00
Sales Rank: 270553
Media: Hardcover
Number Of Items: 1
Pages: 278
Shipping Weight (lbs): 1.6
Dimensions (in): 10.2 x 7.2 x 0.8
ISBN: 0821844407
Dewey Decimal Number: 515.732
EAN: 9780821844403
ASIN: 0821844407
Publication Date: July 23, 2008
Shipping: Eligible for Super Saver Shipping
Availability: Usually ships in 24 hours
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Product Description
Grothendieck's Resume is a landmark in functional analysis. Despite having appeared more than a half century ago, its techniques and results are still not widely known nor appreciated. This is due, no doubt, to the fact that Grothendieck included practically no proofs, and the presentation is based on the theory of the very abstract notion of tensor products. This book aims at providing the details of Grothendieck's constructions and laying bare how the important classes of operators are a consequence of the abstract operations on tensor norms. Particular attention is paid to how the classical Banach spaces ($C(K)$'s, Hilbert spaces, and the spaces of integrable functions) fit naturally within the mosaic that Grothendieck constructed.
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