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.
Mean Ergodic Semigroups of Operators
ALBANESE, Angela Anna;
2012-01-01
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.File in questo prodotto:
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