International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 1-4, Pages 91-97
doi:10.1155/S016117120430726X
On uniform Kadec--Klee properties and rotundity in generalized Cesàro sequence spaces
Narin Petrot
and Suthep Suantai
Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand
Abstract
We consider the generalized Cesàro sequence spaces defined by Suantai (2003) and consider it equipped with the Amemiya norm. The main purpose of this paper is to show that ces(p) equipped with the Amemiya norm is rotund and has uniform Kadec-Klee property.