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
Format: Artikel
Sprache:eng
Schlagworte:
Banach spaces
Topology
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Zusammenfassung: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