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.
ISBN: | 9780821898550 |
Publication date: | 30th October 2014 |
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 |