
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