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The Grothendieck Inequality Revisted

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The Grothendieck Inequality Revisted Synopsis

The classical Grothendieck inequality is viewed as a statement about representations of functions of two variables over discrete domains by integrals of two-fold products of functions of one variable. An analogous statement is proved, concerning continuous functions of two variables over general topological domains.

The main result is the construction of a continuous map ? from l2 (A) into L2 (? A, PA), where A is a set, ?A = {-1,1}A, and PA is the uniform probability measure on ?A.

About This Edition

ISBN: 9780821898550
Publication date:
Author: R C Blei, American Mathematical Society
Publisher: American Mathematical Society
Format: Paperback
Pagination: 90 pages
Series: Memoirs of the American Mathematical Society
Genres: Calculus and mathematical analysis