Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Common eigenvectors for commutative positive linear operators


Author: Robert E. Huff
Journal: Proc. Amer. Math. Soc. 25 (1970), 51-55
MSC: Primary 47.20
DOI: https://doi.org/10.1090/S0002-9939-1970-0257772-X
MathSciNet review: 0257772
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: The purpose of this note is to point out an extension of the Markov-Kakutani fixed-point theorem to a result on the existence of a common eigenvector in a cone with a compact base when acted upon by a commutative family of operators. As an application, an extension is given of a result of Kreĭn and Rutman on characteristic functionals.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 47.20

Retrieve articles in all journals with MSC: 47.20


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1970-0257772-X
Keywords: Common eigenvectors, fixed-points, locally convex spaces, ordered linear spaces, Markov-Kakutani Theorem, compact base, characteristic functional
Article copyright: © Copyright 1970 American Mathematical Society