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.
Spectral and ergodic properties of the operator $B(r, s)$ over power series spaces $\Lambda_\infty(\alpha)$ of infinite type and their duals
Angela Anna Albanese
Primo
;Claudio MeleSecondo
2025-01-01
Abstract
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.File in questo prodotto:
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