Accession Number : AD0678865

Title :   INVERTIBLY POSITIVE LINEAR OPERATORS ON SPACES OF CONTINUOUS FUNCTIONS,

Corporate Author : RAND CORP SANTA MONICA CALIF

Personal Author(s) : Brown,T. A. ; Juncosa,M. L. ; Klee,V. L.

Report Date : OCT 1968

Pagination or Media Count : 27

Abstract : A proof is given that any positive linear transformation of a space of continuous functions with a positive inverse has a certain specific form. The characterization is the same as that found by Kaplansky and others, but here it is obtained under weaker assumptions as to the topological space X and the linear space F of real-valued functions. The study was motivated by a problem in logistics, which, mathematically, was to find conditions necessary and sufficient for a positive matrix to have one of its powers equal to the identity matrix. (Author)

Descriptors :   (*OPERATORS(MATHEMATICS), TOPOLOGY), MATRICES(MATHEMATICS), TRANSFORMATIONS(MATHEMATICS), GROUPS(MATHEMATICS), THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE