Mean ergodicity on Banach lattices and Banach spaces

被引：0

作者：

Eduard Yu. Emel’yanov

Manfred P.H. Wolff

机构：

[1] Sobolev Institute of Mathematics at Novosibirsk,

[2] Universitetskii pr. 4,undefined

[3] RU-630090,undefined

[4] Novosibirsk,undefined

[5] Russia,undefined

[6] Mathematisches Institut der Universität Tübingen,undefined

[7] Auf der Morgenstelle 2,undefined

[8] D-720776 Tübingen,undefined

[9] Germany,undefined

来源：

Archiv der Mathematik | 1999年 / 72卷

关键词：

Banach Space; Special Classis; Positive Operator; Banach Lattice; Fredholm Operator;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We characterize properties of Banach spaces by mean ergodicity of operators belonging to special classes. More precisely, we prove: ¶ (i) The Banach lattice E has order continuous norm iff every power-order-bounded regular Fredholm operator is ergodic. (ii) The countably order complete Banach lattice is a KB-space iff every positive operator which possesses a quasi order bounded attractor is mean ergodic. (iii) The Banach space does not contain c0 if every Fredholm operator is ergodic.

引用

页码：214 / 218

页数：4

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