Stability of weak normal structure in James quasi reflexive space

DOI10.1017/S0004972700012016zbMath0787.46013OpenAlexW2051236845MaRDI QIDQ3993924

Antonio Jiménez-Melado

Publication date: 13 August 1992

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700012016

zbMATH Keywords

Banach-Mazur distanceJames spaceweak normal structureproperty GGLD

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Geometry and structure of normed linear spaces (46B20) Classical Banach spaces in the general theory (46B25)

Related Items

The \(\tau\)-fixed point property for left reversible semigroups ⋮ On Banach space properties that are not invariant under the Banach-Mazur distance 1 ⋮ ON NON-UNIFORM CONDITIONS GIVING WEAK NORMAL STRUCTURE ⋮ The fixed point property for renormings of \({\ell}_2\) ⋮ Fixed points of asymptotically nonexpansive type mappings ⋮ Fixed point theorems of nonexpansive mappings on weakly compact sets ⋮ Asymptotic normal structure and the semi-opial property ⋮ Structure of the fixed point set and common fixed points of asymptotically nonexpansive mappings ⋮ A generalization of a renorming theorem by Lin and a new nonreflexive space with the fixed point property which is nonisomorphic to \(l_1\) ⋮ Comparison between certain equivalent norms regarding some familiar properties implying WFPP ⋮ On property \((M)\) and its generalizations ⋮ Geometrical conditions in product spaces ⋮ Asymptotically isometric copies of \(c_0\) and renormings of Banach spaces ⋮ On some Banach space properties sufficient for weak normal structure and their permanence properties ⋮ Weak uniform normal structure and fixed points of asymptotically regular semigroups

Cites Work

• Unconditional bases and fixed points of nonexpansive mappings
• Existence of fixed points of nonexpansive mappings in a space without normal structure
• Normal Structure for Banach Spaces with Schauder Decomposition
• Normal structure in Banach spaces and its generalisations
• A Fixed Point Theorem for Mappings which do not Increase Distances

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