Some Mean and Uniform Ergodic Type Theorems

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Oğuz G., ORHAN C.

Filomat, cilt.36, sa.7, ss.2403-2410, 2022 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 36 Sayı: 7
  • Basım Tarihi: 2022
  • Doi Numarası: 10.2298/fil2207403o
  • Dergi Adı: Filomat
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Sayfa Sayıları: ss.2403-2410
  • Anahtar Kelimeler: bounded linear operator, Cesàro average, ergodic decomposition, Ergodic theorem, mean ergodic theorem, power bounded operator, regular matrix, uniform ergodic theorem
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Ankara Üniversitesi Adresli: Evet

Özet

© 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.