Accession Number : AD0635960

Title :   CONTINUITY OF SOME CONVEX-CONE-VALUED MAPPINGS.

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

Personal Author(s) : Walkup, David W. ; Wets,Roger J. B.

Report Date : JUN 1966

Pagination or Media Count : 14

Abstract : The authors consider the class C of closed convex cones in a Hilbert space as a topological space and investigate the resulting topological properties of certain mappings into C. They show that with the proper choice of a Hausdorff metric for C the operation of taking the polar cone is an involutory isometry. The operation is considered of taking the positive hull of a finite set of points as a mapping into C and obtain some sufficient conditions for the continuity of this mapping. (Author)

Descriptors :   (*MAPPING(TRANSFORMATIONS), *CONVEX SETS), FUNCTIONAL ANALYSIS, TOPOLOGY

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE