Compact right topological semigroups applied to operators

Noa Bihlmaier

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arXiv · 2311.11920

Compact right topological semigroups applied to operators

Noa Bihlmaier

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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.

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Noa Bihlmaier. 2023-11-20. Compact right topological semigroups applied to operators. https://arxiv.org/abs/2311.11920

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