Compact right topological semigroups applied to operators
Functional Analysis
2023-11-21 v1 Representation Theory
Abstract
In this paper we introduce a new decomposition of power-bounded operators, analogous to the Jacobs-deLeeuw-Glicksberg decomposition. This is done using so-called K\"ohler semigroups and the general theory of right topological compact semigroups. This leads to a new proof, under appropriate assumptions, of the cyclicity of the peripheral spectrum of positive operators on Banach lattices.
Cite
@article{arxiv.2311.11920,
title = {Compact right topological semigroups applied to operators},
author = {Noa Bihlmaier},
journal= {arXiv preprint arXiv:2311.11920},
year = {2023}
}
Comments
10 pages