International Journal of Mathematics and Mathematical Sciences 
Volume 2003 (2003), Issue 2, Pages 65-73
doi:10.1155/S0161171203108034

Asymptotic almost periodicity of C-semigroups

Linghong Xie,1 Miao Li,2 and Falun Huang2

 1Department of Applied Mathematics, Southwest Jiaotong University, Chengdu 610031, China
2Department of Mathematics, Sichuan University, Chengdu 610064, China
Received 6 August 2001; Revised 2 March 2002

Abstract

Let {T(t)}t≥0 be a C-semigroup on a Banach space X with generator A. We will investigate the asymptotic almost periodicity of {T(t)} via the Hille-Yosida space of its generator.