Accession Number : AD0759773

Title :   The Meaning of the Cauchy-Schwarz-Buniakovsky Inequality.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Zarantonello,Eduardo H.

Report Date : APR 1973

Pagination or Media Count : 10

Abstract : It is proved that a mapping T : X maps to X* from a topological real vector space into its dual satisfies the inequality (Ty,x) < or = (Tx,x)(sup 1/2) (Ty,y)(sup 1/2) if and only if it is the restriction of a positively homogeneous subdifferential operator. (Author)

Descriptors :   (*INEQUALITIES, MAPPING(TRANSFORMATIONS)), MATRICES(MATHEMATICS), VECTOR SPACES, CONVEX SETS, TOPOLOGY, FUNCTIONAL ANALYSIS, THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE