Extensions of Perron-Frobenius Theory
Functional Analysis
2012-08-20 v1
Abstract
The classical Perron-Frobenius theory asserts that for two matrices and , if and with being irreducible, then . This was recently extended in Bernik et al. (2012) to positive operators on with either or being irreducible and power compact. In this paper, we extend the results to irreducible operators on arbitrary Banach lattices.
Keywords
Cite
@article{arxiv.1208.3490,
title = {Extensions of Perron-Frobenius Theory},
author = {Niushan Gao},
journal= {arXiv preprint arXiv:1208.3490},
year = {2012}
}