Accession Number : AD0285070

Title :   THE CAUCHY-SCHWARTZ INEQUALITY FOR AN OPERATOR-VALUED INNER PRODUCT

Corporate Author : RAND CORP SANTA MONICA CALIF

Personal Author(s) : KITCHEN,J.W. JR.

Report Date : SEP 1962

Pagination or Media Count : 1

Abstract : IN MANY BRANCHES OF FUNCTIONAL ANALYSIS THERE IS A CRUCIAL SET OF INEQUALITIES WHICH MUST BE ESTABLISHED BEFORE MUCH ELSE IS POSSIBLE. The Cauchy-Schwartz inequality plays such a role in the theory of Hilbert spaces. A far-reaching generalization of this basic inequality is presented. This presentation is the outgrowth of a study of the Fourier expansion theory for almost periodic functions. (Author)

Descriptors :   *FUNCTIONAL ANALYSIS, *INEQUALITIES, *TOPOLOGY, ALGEBRA, ALGEBRAS, FOURIER ANALYSIS, FUNCTIONS(MATHEMATICS), GROUPS (MATHEMATICS), OPERATIONAL CALCULUS, OPERATORS (MATHEMATICS), SERIES(MATHEMATICS), THEORY

Distribution Statement : APPROVED FOR PUBLIC RELEASE