Asymptotical smoothness and its applications
Wieslawa J Kaczor, Stanisław Prus · Bulletin of the Australian Mathematical Society · 2002
In this paper we introduce the notion of asymptotical smoothness of a Banach space and show that it is strongly related to the Kadec-Klee property. This notion is then applied to obtain new theorems about weak convergence of almost orbits of three various types of semigroups of mappings.