Accession Number : AD0701154

Title :   DUALITY IN LINEAR RANGE-DOMAIN IMPLICATIONS,

Corporate Author : BOEING SCIENTIFIC RESEARCH LABS SEATTLE WASH MATHEMATICS RESEARCH LAB

Personal Author(s) : Schroeder,Johann

Report Date : DEC 1969

Pagination or Media Count : 21

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)

Descriptors :   (*OPERATORS(MATHEMATICS), *SET THEORY), CONVEX SETS, MATRICES(MATHEMATICS), TOPOLOGY

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE