Some Mean and Uniform Ergodic Type Theorems
Filomat, vol.36, no.7, pp.2403-2410, 2022 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 36 Issue: 7
- Publication Date: 2022
- Doi Number: 10.2298/fil2207403o
- Journal Name: Filomat
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
- Page Numbers: pp.2403-2410
- Keywords: bounded linear operator, Cesàro average, ergodic decomposition, Ergodic theorem, mean ergodic theorem, power bounded operator, regular matrix, uniform ergodic theorem
- Open Archive Collection: AVESIS Open Access Collection
- Ankara University Affiliated: Yes
Abstract
© 2022, University of Nis. All rights reserved.Let X be a Banach space and T ∈ B(X). Cohen determined a class of regular infinite matrices ∑ A = (ank) for which (formula presented) converges strongly to an element invariant under T. In the present paper k=1 we study A-mean and A-uniform ergodic type results when A = (ank) is a regular infinite matrix satisfying Cohen’s uniformity condition lim (formula presented) uniformly in n.