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Fixed point property for general topologies in some Banach spaces

Published online by Cambridge University Press:  17 April 2009

Maria A. Japón Pineda  and
Stanislaw Prus
Maria A. Japón Pineda
Affiliation:
Departamento de Análisis Matemático, Universidad de Sevilla, 41080 Sevilla, Spain e-mail: japon@us.es
Stanislaw Prus
Affiliation:
Institute of Mathematics, Maria Curie-Sklodowska University, 20–031 Lublin, Poland e-mail: bsprus@golem.umcs.lublin.pl
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We study the fixed point property with respect to general vector topologies in L-embedded Banach spaces. Considering a class of topologies in l1 such that the standard basis is convergent, we characterise those of them for which the fixed point property holds. We show that in c0-sums of some Banach spaces the weak topology is in a sense the coarsest topology for which the fixed point property holds.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 70 , Issue 2 , October 2004 , pp. 229 - 244
Copyright
Copyright © Australian Mathematical Society 2004

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