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Mean ergodic semigroups of operators

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Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas

Abstract

We present criteria for determining mean ergodicity of C 0-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 C 0-semigroups acting in X is also presented. Special results become available in Grothendieck spaces with the Dunford-Pettis property. © 2011 Springer-Verlag.