Gu, Xiaohui; Li, Miao; Huang, Falun Almost periodicity of \(C\)-semigroups, integrated semigroups and \(C\)-cosine functions. (English) Zbl 1008.47043 Stud. Math. 150, No. 2, 189-200 (2002). 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. Reviewer: Jan Cholewa (Katowice) Cited in 3 Documents MSC: 47D60 \(C\)-semigroups, regularized semigroups 47D06 One-parameter semigroups and linear evolution equations 47D62 Integrated semigroups Keywords:semigroup of class \(C_0\); \(C\)-cosine function; integrated semigroup; almost periodicity; \(C\)-semigroup PDFBibTeX XMLCite \textit{X. Gu} et al., Stud. Math. 150, No. 2, 189--200 (2002; Zbl 1008.47043) Full Text: DOI