Almost periodicity of $C$-semigroups, integrated semigroups and $C$-cosine functions
Tom 150 / 2002
Studia Mathematica 150 (2002), 189-200
MSC: 47D60, 47D62, 47D06.
DOI: 10.4064/sm150-2-7
Streszczenie
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.