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Almost periodicity of \(C\)-semigroups, integrated semigroups and \(C\)-cosine functions. (English) Zbl 1008.47043
Authors’ abstract: We investigate the characterization of almost periodic \(C\)-semigroups, via the Hille-Yosida space \(Z_0\), 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.

MSC:
47D60 \(C\)-semigroups, regularized semigroups
47D06 One-parameter semigroups and linear evolution equations
47D62 Integrated semigroups
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