Displaying similar documents to “Asymptotic almost periodicity of -semigroups.”

Spectral properties of weakly asymptotically almost periodic semigroups in the sense of Stepanov

Valentina Casarino (1997)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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The spectral structure of the infinitesimal generator of strongly measurable, asymptotically -almost periodic semigroups is investigated.

Almost periodicity of C-semigroups, integrated semigroups and C-cosine functions

Xiaohui Gu, Miao Li, Falun Huang (2002)

Studia Mathematica

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We investigate the characterization of almost periodic C-semigroups, via the Hille-Yosida space Z₀, in case of R(C) being non-dense. Analogous results are obtained for C-cosine functions. We also discuss the almost periodicity of integrated semigroups.

Almost periodic and strongly stable semigroups of operators

Vũ Phóng (1997)

Banach Center Publications

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This paper is chiefly a survey of results obtained in recent years on the asymptotic behaviour of semigroups of bounded linear operators on a Banach space. From our general point of view, discrete families of operators on a Banach space X (discrete one-parameter semigroups), one-parameter -semigroups on X (strongly continuous one-parameter semigroups), are particular cases of representations of topological abelian semigroups. Namely, given a topological abelian semigroup S, a family...