Accession Number : AD0759769

Title :   Dense Single-Valuedness of Monotone Operators.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Zarantonello,Eduardo H.

Report Date : FEB 1973

Pagination or Media Count : 16

Abstract : It is shown that the set of points where a monotone mapping T : X maps to X* from a separable Banach space into its dual is not single valued has no interior; if dim X < infinity and int D(t) not equal phi then the set has Lebesgue measure zero. Moreover, for accretive mappings T : X maps to X form a separable Banach space into itself the dimensions of the set of points whose images contain balls of codimension not larger than k does not exceed k. Applications to convexity are given. (Author)

Descriptors :   (*FUNCTIONAL ANALYSIS, MAPPING(TRANSFORMATIONS)), BANACH SPACE, HILBERT SPACE, CONVEX SETS, THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE