The Locally Uniform Nonsquare in Generalized Cesàro Sequence Spaces
© Narin Petrot. 2008
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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