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