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On Ergodic Operator Means in Banach Spaces

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Abstract

We consider a large class of operator means and prove that a number of ergodic theorems, as well as growth estimates known for particular cases, continue to hold in the general context under fairly mild regularity conditions. The methods developed in the paper not only yield a new approach based on a general point of view, but also lead to results that are new, even in the context of the classical Cesàro means.

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Authors and Affiliations

  1. Mathematics, Faculty of Sciences, Lund University, P.O. Box 118, 221 00, Lund, Sweden

    Alexandru Aleman

  2. Department of Mathematics and Informatics, “Lucian Blaga” University of Sibiu, Dr. Ion Raţiu 5-7, 550012, Sibiu, Romania

    Laurian Suciu

Authors
  1. Alexandru Aleman
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  2. Laurian Suciu
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Correspondence to Laurian Suciu.

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Aleman, A., Suciu, L. On Ergodic Operator Means in Banach Spaces. Integr. Equ. Oper. Theory 85, 259–287 (2016). https://doi.org/10.1007/s00020-016-2298-x

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  • DOI: https://doi.org/10.1007/s00020-016-2298-x

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