Spectral and ergodic properties of the operator B(r,s) over power series spaces Λ_∞(α) of infinite type and their duals

2025/08/07 by Albanese, Angela A., Mele, Claudio
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2508.05315

Abstract

In this paper, we investigate the spectral and ergodic properties of the linear operator B(r,s) acting on power series spaces Λ_∞(α) 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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