On uniform Kadec-Klee properties and rotundity in generalized Cesàro sequence spaces

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. © Hindawi Publishing Corp.

Saved in:
Bibliographic Details
Main Authors: Petrot N., Suantai S.
Format: Article
Language:English
Published: 2014
Online Access:http://www.scopus.com/inward/record.url?eid=2-s2.0-17444414973&partnerID=40&md5=67c72416a3cb9608dd44c66704492619
http://cmuir.cmu.ac.th/handle/6653943832/4868
Tags: Add Tag
No Tags, Be the first to tag this record!
Institution: Chiang Mai University
Language: English
Description
Summary: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. © Hindawi Publishing Corp.