On Commuting and Semi-commuting Positive Operators
Functional Analysis
2012-08-20 v1
Abstract
Let be a positive compact operator on a Banach lattice. We prove that if either or is ideal irreducible then . We also establish the Perron-Frobenius Theorem for such operators . Finally we apply the results to answer questions in Abramovich and Aliprantis (2002) and Bra\v{c}i\v{c} (2010).
Cite
@article{arxiv.1208.3495,
title = {On Commuting and Semi-commuting Positive Operators},
author = {Niushan Gao},
journal= {arXiv preprint arXiv:1208.3495},
year = {2012}
}