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arXiv · 2508.05315

Spectral and ergodic properties of the operator $B(r,s)$ over power series spaces $\Lambda_\infty(\alpha)$ of infinite type and their duals

Angela A. Albanese·Claudio Mele
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Abstract

In this paper, we investigate the spectral and ergodic properties of the linear operator $B(r,s)$ acting on power series spaces $\Lambda_\infty(\alpha)$ of infinite type and on their strong duals. Precisely, we provide a complete characterization of its fine spectrum and establish necessary and sufficient conditions for the operator to be power bounded and (uniformly) mean ergodic.

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Angela A. Albanese, Claudio Mele. 2025-08-07. Spectral and ergodic properties of the operator $B(r,s)$ over power series spaces $\Lambda_\infty(\alpha)$ of infinite type and their duals. https://arxiv.org/abs/2508.05315

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