DUALITY IN LINEAR RANGE-DOMAIN IMPLICATIONS,

Abstract

The paper is concerned with linear operators M having the property that Mu epsilon C implies u epsilon K, where C and K are given sets. Sufficient conditions for this property have been derived earlier. Here, dual formulations of these sufficient conditions and the property itself are established. The equivalence of the dual and primal conditions is proven for polyhedral sets C and K. Generalizations depend mainly on the availability of appropriate separation theorems. (Author)

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1969
Accession Number
AD0701154

Entities

People

  • Johann Schroeder

Organizations

  • Boeing

Tags

Fields of Study

  • Mathematics

Readers

  • Mathematical Modeling and Probability Theory.
  • Operations Research