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Grothendieck inequality revisited / Ron Blei.

By: Material type: TextTextSeries: Memoirs of the American Mathematical Society ; v 232, no 1093.Publication details: Providence : American Mathematical Society, c2014.Description: v, 90 p. ; 25 cmISBN:
  • 9780821898550 (pbk. : acidfree paper)
Subject(s): DDC classification:
  • 510 23 Am512
Contents:
1. Introduction-- 2. Integral representations: the case of discrete domains-- 3. Integral representations: the case of topological domains-- 4. Tools-- 5. Proof of theorem 3.5-- 6. Variations on a theme-- 7. More about ?-- 8. Integrability-- 9. A parseval-lime formula for [x,y], ..--- 10. Grothendieck-like theorems in dinmensions> 2?-- 11. Fractional cartesian products and multilinear functionals on a Hilbert space-- 12. Proof of theorem 11.11-- 13. Sine loose ends-- Bibliography.
Summary: 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.
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"November 2014, volume 232, number 1093 (fifth of 6 numbers)".

Includes bibliographical references (pages 89-90) and index.

1. Introduction--
2. Integral representations: the case of discrete domains--
3. Integral representations: the case of topological domains--
4. Tools--
5. Proof of theorem 3.5--
6. Variations on a theme--
7. More about ?--
8. Integrability--
9. A parseval-lime formula for [x,y], ..---
10. Grothendieck-like theorems in dinmensions> 2?--
11. Fractional cartesian products and multilinear functionals on a Hilbert space--
12. Proof of theorem 11.11--
13. Sine loose ends--
Bibliography.

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.

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