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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm150-2-7,
author = {Xiaohui Gu and Miao Li and Falun Huang},
title = {Almost periodicity of C-semigroups, integrated semigroups and C-cosine functions},
journal = {Studia Mathematica},
volume = {151},
year = {2002},
pages = {189-200},
zbl = {1008.47043},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm150-2-7}
}
Xiaohui Gu; Miao Li; Falun Huang. Almost periodicity of C-semigroups, integrated semigroups and C-cosine functions. Studia Mathematica, Tome 151 (2002) pp. 189-200. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm150-2-7/