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International Journal of Mathematics and Mathematical Sciences 
Volume 2004 (2004), Issue 2, 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

Received 31 July 2003

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.