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Renormings of c0 and the fixed point property

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Álvaro, J. M. and Cembranos, Pilar and Mendoza Casas, José (2017) Renormings of c0 and the fixed point property. Journal of Mathematical Analysis and Applications, 454 (2). pp. 1106-1113. ISSN 0022-247X

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Official URL: http://www.sciencedirect.com/science/article/pii/S0022247X17305097


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Abstract

It is unknown whether all renormings of c0 fail the fixed point property (FPP) or not. In this note we give a sufficient condition for a renorming of c0 to fail the FPP which is more general than the previously known ones. In fact the condition is satisfied for all renormings of c0 we know. It also allows us to show that for some usual renormings of c0 not only the whole space but all its infinite dimensional subspaces fail the FPP.


Item Type:Article
Uncontrolled Keywords:Fixed point theory; Renorming; Nonexpansive mappings
Subjects:Sciences > Mathematics > Functional analysis and Operator theory
ID Code:43783
Deposited On:05 Jul 2017 08:19
Last Modified:07 Jul 2017 08:01

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