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arXiv · 2605.25684

Transference of ergodic properties of operators via matrix actions

Daniel Santacreu·Pablo Sevilla-Peris
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Abstract

For operators defined on locally convex spaces we define the notions of boundedness and ergodicity associated to an infinite matrix. Given two matrices $ A$ and $ B$, we study when $ A$-bounded operators are $ B$-ergodic. Using this approach we obtain equivalent formulations for the classical notions of power boundedness, Ces\`aro boundedness and mean ergodicity.

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Daniel Santacreu, Pablo Sevilla-Peris. 2026-05-25. Transference of ergodic properties of operators via matrix actions. https://arxiv.org/abs/2605.25684

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