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arXiv · 1903.04985

Gelfand-type theorems for dynamical Banach modules

H. Kreidler·S. Siewert
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Abstract

The representation theorems of Gelfand and Kakutani for commutative C*-algebras and AM- and AL-spaces are the basis for the Koopman linearization of topological and measure-preserving dynamical systems. In this article we prove versions of these results for dynamics on topological and measurable Banach bundles and the corresponding weighted Koopman representations on Banach modules.

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H. Kreidler, S. Siewert. 2019-03-12. Gelfand-type theorems for dynamical Banach modules. https://arxiv.org/abs/1903.04985

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