The Metric Theory of Tensor Products: Grothendiecks Resume Revisited Joseph Diestel

ISBN: 9780821844403

Published: July 23rd 2008

Paperback

278 pages


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The Metric Theory of Tensor Products: Grothendiecks Resume Revisited  by  Joseph Diestel

The Metric Theory of Tensor Products: Grothendiecks Resume Revisited by Joseph Diestel
July 23rd 2008 | Paperback | PDF, EPUB, FB2, DjVu, audiobook, mp3, RTF | 278 pages | ISBN: 9780821844403 | 8.12 Mb

Famed mathematician Alexander Grothendieck, in his Resume, set forth his plan for the study of the finer structure of Banach spaces. He used tensor products as a foundation upon which he built the classes of operators most important to the study ofMoreFamed mathematician Alexander Grothendieck, in his Resume, set forth his plan for the study of the finer structure of Banach spaces. He used tensor products as a foundation upon which he built the classes of operators most important to the study of Banach spaces and established the importance of the local theory in the study of these operators and the spaces they act upon.

When Lintenstrauss and Pelczynski addressed his work at the rebirth of Banach space theory, they shed his Fundamental Inequality in the trappings of operator ideals by shedding the tensorial formulation. The authors of this book, however, feel that there is much of value in Grothendiecks original formulations in the Resume and here endeavor to expose the Resume by presenting most of Grothendiecks arguments using the mathematical tools that were available to him at the time.



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