Open Access

The Locally Uniform Nonsquare in Generalized Cesàro Sequence Spaces

Journal of Inequalities and Applications20082008:162037

Received: 20 August 2008

Accepted: 10 November 2008

Published: 13 November 2008


We show that the generalized Cesàro sequence spaces possess the locally uniform nonsquare and have the fixed point property, but they are not uniformly nonsquare. This result is related to the result of the paper by J. Falset et al. (2006) by giving the examples and the motivation to find the geometric properties that are weaker than uniformly nonsquare but still possess the fixed point property in any Banach spaces.

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Authors’ Affiliations

Department of Mathematics, Faculty of Science, Naresuan University


© Narin Petrot. 2008

This article is published under license to BioMed Central Ltd. 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.