Dense Single-Valuedness of Monotone Operators.

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)

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1973
Accession Number
AD0759769

Entities

People

  • Eduardo H. Zarantonello

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Banach Space

Fields of Study

  • Mathematics

Readers

  • Graph Algorithms and Convex Optimization.

Technology Areas

  • Space
  • Space - Space Objects