# zbMATH — the first resource for mathematics

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
Full Text: