
Accession Number : AD0697062
Title : RANGEDOMAIN IMPLICATIONS FOR CONCAVE OPERATORS,
Corporate Author : BOEING SCIENTIFIC RESEARCH LABS SEATTLE WASH MATHEMATICS RESEARCH LAB
Personal Author(s) : Schroder,Johann
Report Date : OCT 1969
Pagination or Media Count : 28
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)
Descriptors : (*OPERATORS(MATHEMATICS), SET THEORY), CONVEX SETS, TOPOLOGY, THEOREMS
Subject Categories : Theoretical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE