Accession Number : AD0691901

Title :   AN INCLUSION THEOREM FOR LINEAR OPERATORS,

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

Personal Author(s) : Schroeder,Johann

Report Date : JUL 1969

Pagination or Media Count : 17

Abstract : There are derived necessary and sufficient conditions such that 'Mu is a member of C implies u is a member of K' where M is a linear operator, K is a closed set and C is a convex set. In particular, for matrices M, the following property is investigated: -phi = or < Mu = or < psi implies -phi = or < u = or < psi. Moreover, connections with inversepositivity are discussed. (Author)

Descriptors :   (*OPERATORS(MATHEMATICS), THEOREMS), CONVEX SETS, MATRICES(MATHEMATICS), VECTOR SPACES, TOPOLOGY, THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE