Year: 2023
Type: preprint
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 Köhler 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.
Source: arXiv (Cornell University)
Author: Bihlmaier, Noa
Language: English
Topic: Advanced Banach Space Theory
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4388926652