RANGE-DOMAIN IMPLICATIONS FOR CONCAVE OPERATORS,

Abstract

Let R and S denote linear spaces and M:R(arrow)S an operator which is concave in some rather general sense. Sufficient conditions are derived such that an element u epsilon B included in R belongs to a certain set K included in R whenever Mu is contained in some given set C included in S. Results of an earlier paper on linear operators are generalized in different ways. For example, the set K may have empty interior. There is also given a generalization of the matrix class M of Fiedler and Ptak. Some examples are concerned with operators in the Hilbert Space l sub 2. (Author)

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1969
Accession Number
AD0697062

Entities

People

  • Johann Schroder

Organizations

  • Boeing

Tags

DTIC Thesaurus Topics

  • Banach Space
  • Functional Analysis
  • Hilbert Space
  • Mathematical Analysis

Fields of Study

  • Mathematics

Readers

  • Graph Algorithms and Convex Optimization.
  • Linear Algebra

Technology Areas

  • Space