The normal structure of James quasi reflexive space

DOI10.1017/S0004972700028185zbMath0724.46014OpenAlexW2169744517MaRDI QIDQ3211801

Daryl Tingley

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1017/s0004972700028185

zbMATH Keywords

normal structureJames spacefixed point property for nonexpansive mappingsweakly compact convex sets

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Geometry and structure of normed linear spaces (46B20) Classical Banach spaces in the general theory (46B25) Isometric theory of Banach spaces (46B04)

Related Items (8)

Products of uniformly noncreasy spaces ⋮ Iterative fixed points of non-Lipschitzian self-mappings ⋮ Fixed points of nonexpansive mappings ⋮ ON NON-UNIFORM CONDITIONS GIVING WEAK NORMAL STRUCTURE ⋮ James quasireflexive space is orthogonally convex ⋮ Asymptotic normal structure and the semi-opial property ⋮ 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

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
• A Non-Reflexive Banach Space Isometric With Its Second Conjugate Space

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