M-isometric Composition Operators On Discrete Spaces

2022/09/18 by Michał Buchała, Buchała, Michał · 1 citation
Mathematics · #Holomorphic and Operator Theory #Advanced Banach Space Theory #Advanced Topics in Algebra

paper · pdf · doi:10.48550/arxiv.2209.08518

Abstract

In this paper we investigate composition operators on discrete spaces. We establish the classification of underlying graphs of such operators. For one class of such graphs, namely graphs with one cycle, we obtain a characterization of m-isometries. The paper also contains the solution to the Cauchy dual subnormality problem for composition operators on graphs with one cycle.

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