James quasi reflexive space has the fixed point property
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Publication:3825606
DOI10.1017/S0004972700027957zbMath0672.47045MaRDI QIDQ3825606
Publication date: 1989
Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)
fixed point propertyJames spacenon-expansive mappingweakly compact convex subsetBanach space with a non-unconditional basis
Fixed-point theorems (47H10) Classical Banach spaces in the general theory (46B25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
Related Items (4)
Fixed points of nonexpansive mappings ⋮ Isometric embedding of Banach spaces under optimal projection constants ⋮ The fixed point property and the Opial condition on tree-like Banach spaces ⋮ James quasireflexive space is orthogonally convex
Cites Work
- Unconditional bases and fixed points of nonexpansive mappings
- James' quasi-reflexive space is not isomorphic to any subspace of its dual
- James' quasi-reflexive space is primary
- Existence of fixed points of nonexpansive mappings in a space without normal structure
- A Fixed Point Free Nonexpansive Map
- Transfinite Duals of Quasireflexive Banach Spaces
- The Fixed Point Property for Non-Expansive Mappings
- A Fixed Point Theorem for Mappings which do not Increase Distances
- A Non-Reflexive Banach Space Isometric With Its Second Conjugate Space
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