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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Bibliographic Details
Published in:Bulletin of the Australian Mathematical Society 2004-10, Vol.70 (2), p.229-244
Main Authors: Pineda, Maria A. Japón, Prus, Stanislaw
Format: Article
Language:English
Subjects:
Banach spaces
Topology
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Summary: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.
ISSN:0004-9727
1755-1633
DOI:10.1017/S0004972700034456