International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 5, Pages 295-304
doi:10.1155/S0161171203111325
Characterizations of vector-valued weakly almost periodic functions
Department of Mathematics, Harbin Institute of Technology, Harbin 150001, China
Received 10 November 2001
Copyright © 2003 Chuanyi Zhang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
We characterize the weak almost periodicity of a vector-valued,
bounded, continuous function. We show that if the range of the
function is relatively weakly compact, then the relative weak
compactness of its right orbit is equivalent to that of its left
orbit. At the same time, we give the function some other
equivalent properties.