Fixed point property for general topologies in some Banach spaces

Fixed point property for general topologies in some Banach spaces

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...

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Veröffentlicht in:Bulletin of the Australian Mathematical Society 2004-10, Vol.70 (2), p.229-244
Hauptverfasser: Pineda, Maria A. Japón, Prus, Stanislaw
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Banach spaces
Topology
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Prus, Stanislaw
description 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.
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subjects Banach spaces
Topology
title Fixed point property for general topologies in some Banach spaces
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