\(C_{0}\)-semigroups and mean ergodic operators in a class of Fréchet spaces

DOI10.1016/j.jmaa.2009.10.014zbMath1192.47041OpenAlexW2015983029MaRDI QIDQ847759

Angela A. Albanese, Werner J. Ricker, José Bonet

Publication date: 19 February 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.10.014

zbMATH Keywords

Köthe spaceDunford-Pettis propertyGrothendieck space\(C_{0}\)-semigroupprequojection spacequojection space

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Ergodic theory of linear operators (47A35)

Related Items

Linear dynamics of semigroups generated by differential operators, Distributionally chaotic families of operators on Fréchet spaces, On cosine families, A characterization for a complete random normed module to be mean ergodic, Spectra and ergodic properties of multiplication and convolution operators on the space \(\mathcal{S}(\mathbb{R})\), Mean ergodic semigroups of operators, Cosine families in GDP Quojection-Fréchet spaces, Non-power bounded generators of strongly continuous semigroups, Dunford-Pettis type properties and the Grothendieck property for function spaces, Von Neumann's mean ergodic theorem on complete random inner product modules, Uniform convergence and spectra of operators in a class of Fréchet spaces, On the continuous Cesàro operator in certain function spaces, Another mean ergodic characterization of quasi-reflexive spaces, Dissipative operators and additive perturbations in locally convex spaces, Some permanence results of the Dunford-Pettis and Grothendieck properties in lcHs, Strongly continuous semigroups on some Fréchet spaces, Uniform mean ergodicity of \(C_0\)-semigroups in a class of Fréchet spaces, Quasinormable \(C_0\)-groups and translation-invariant Fréchet spaces of type \(\mathcal{D}_E\), Distributional chaoticity of \(C_0\)-semigroup on a Fréchet space, Desch‐Schappacher perturbation of one‐parameter semigroups on locally convex spaces

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