Cilt:68 Sayı:02 (2019)

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Browsing Cilt:68 Sayı:02 (2019) by Subject "Almost convergence"

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    Mean ergodic type theorems
    (Ankara Üniversitesi Fen Fakültesi, 2019-08-01) Oğuz, Gencay; Orhan, Cihan; Other; Other
    Let T be a bounded linear operator on a Banach space X . Replacing the Ces\`{a}ro matrix by a regular matrix A = ( a n j ) Cohen studied a mean ergodic theorem. In the present paper we extend his result by taking a sequence of infinite matrices A = ( A ( i ) ) that contains both convergence and almost convergence. This result also yields an A -ergodic decomposition. When T is power bounded we give a characterization for T to be A -ergodic.