The fixed point property via dual space properties

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dc.creatorDowling, P. N.
dc.creatorRandrianantoanina, B.
dc.creatorTurett, B.
dc.date2008-04-03
dc.date2008-04-04
dc.date.accessioned2026-07-07T09:30:09Z
dc.date.available2026-07-07T09:30:09Z
dc.descriptionA Banach space has the weak fixed point property if its dual space has a weak$^*$ sequentially compact unit ball and the dual space satisfies the weak$^*$ uniform Kadec-Klee property; and it has the \fpp if there exists $ε>0$ such that, for every infinite subset $A$ of the unit sphere of the dual space, $A\cup (-A)$ fails to be $(2-ε)$-separated. In particular, $E$-convex Banach spaces, a class of spaces that includes the uniformly nonsquare spaces, have the fixed point property.
dc.description(couple of typos corrected)
dc.identifierhttps://arxiv.org/abs/0804.0601
dc.identifierhttp://arxiv.org/abs/0804.0601
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/158037
dc.subjectFunctional Analysis
dc.titleThe fixed point property via dual space properties
dc.typetext

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