On Ergodic Operator Means in Banach Spaces

Alexandru Aleman; Laurian Suciu

doi:10.1007/s00020-016-2298-x

On Ergodic Operator Means in Banach Spaces

Alexandru Aleman, Laurian Suciu

Mathematics (Faculty of Sciences)

Lucian Blaga University of Sibiu

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	259-287
Number of pages	29
Journal	Integral Equations and Operator Theory
Volume	85
Issue number	2
DOIs	https://doi.org/10.1007/s00020-016-2298-x
Publication status	Published - 2016 Jun 1

Subject classification (UKÄ)

Mathematical Sciences

Free keywords

Cesàro mean
Kreiss bounded operator
Supercyclic operator

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10.1007/s00020-016-2298-x

Cite this

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AB - 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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KW - Kreiss bounded operator

KW - Supercyclic operator

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On Ergodic Operator Means in Banach Spaces

Abstract

Subject classification (UKÄ)

Free keywords

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