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):

Report Date:

1973-02-01

Pagination or Media Count:

16.0

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 Dt 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

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE