INVERTIBLY POSITIVE LINEAR OPERATORS ON SPACES OF CONTINUOUS FUNCTIONS,
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 01, 1968
- Accession Number
- AD0678865
Entities
People
- M. L. Juncosa
- T. A. Brown
- V. L. Klee
Organizations
- RAND Corporation