On Ergodic Operator Means in Banach Spaces

被引：14

作者：

Aleman, Alexandru ^{[1
]}

Suciu, Laurian ^{[2
]}

机构：

[1] Lund Univ, Fac Sci, Math, POB 118, S-22100 Lund, Sweden

[2] Lucian Blaga Univ Sibiu, Dept Math & Informat, Dr Ion Ratiu 5-7, Sibiu 550012, Romania

来源：

INTEGRAL EQUATIONS AND OPERATOR THEORY | 2016年 / 85卷 / 02期

关键词：

Cesaro mean; Supercyclic operator; Kreiss bounded operator; RESOLVENT CONDITIONS; GROWTH; POWERS;

D O I：

10.1007/s00020-016-2298-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 CesA ro means.

引用

页码：259 / 287

页数：29

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