Accession Number : AD0678960

Title :   ON SETS OF POSITIVE LINEAR OPERATORS IN TOPOLOGICAL VECTOR SPACES.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Ritter,K.

Report Date : SEP 1967

Pagination or Media Count : 35

Abstract : Let K sub x and K sub y be convex cones in the topological linear spaces X and Y, respectively. A continuous linear operator A mapping X into Y is called positive if the image of K sub x under A is a subset of K sub y. Properties of the maximal set of positive linear operators are investigated. (Author)

Descriptors :   (*FUNCTIONAL ANALYSIS, *OPERATORS(MATHEMATICS)), VECTOR SPACES, CONVEX SETS, MAPPING(TRANSFORMATIONS), TOPOLOGY, THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE