Mean ergodic semigroups of operators

被引：0
|
作者：
Angela A. Albanese
José Bonet
Werner J. Ricker
机构：
[1] Università del Salento,Dipartimento di Matematica “E.De Giorgi”
[2] Universitat Politècnica de València,Instituto Universitario de Matemática Pura y Aplicada IUMPA
[3] Katholische Universität Eichstätt-Ingolstadt,Math.
来源：
Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas | 2012年 / 106卷
关键词：
-semigroup; Locally convex space; Mean ergodic; 46A04; 47A35; 47D03; 46A11;
D O I：
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中图分类号：
学科分类号：
摘要：
We present criteria for determining mean ergodicity of C0-semigroups of linear operators in a sequentially complete, locally convex Hausdorff space X. A characterization of reflexivity of certain spaces X with a basis via mean ergodicity of equicontinuous C0-semigroups acting in X is also presented. Special results become available in Grothendieck spaces with the Dunford–Pettis property.
引用
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页码：299 / 319
页数：20
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