2023/11/20 by Noa Bihlmaier, Bihlmaier, Noa
Mathematics · #Advanced Topics in Algebra #Advanced Banach Space Theory
paper · pdf · doi:10.48550/arxiv.2311.11920
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.