A geometrically aberrant Banach space with normal structure

DOI10.1017/S0004972700002288zbMath0556.46008MaRDI QIDQ3219297

Brailey Sims, Srinivasa Swaminathan, John R. Giles

Publication date: 1985

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

zbMATH Keywords

uniformly normal structurelocally uniformly rotunduniformly rotund in every directiondiscontinuous metric projectionweakly uniformly Kadec-Klee

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Geometry and structure of normed linear spaces (46B20)

Related Items (4)

Fixed points of nonexpansive mappings ⋮ ON NON-UNIFORM CONDITIONS GIVING WEAK NORMAL STRUCTURE ⋮ The fixed point property for renormings of \({\ell}_2\) ⋮ Asymptotic normal structure and the semi-opial property

Cites Work

• Some geometric properties of the spheres in a normed linear space
• A rotund reflexive space having a subspace of codimension two with a discontinuous metric projection
• Fixed point theorem for non-expansive mappings on banach spaces with uniformly normal structure
• Banach Spaces That Have Normal Structure and are Isomorphic to a Hilbert Space
• A Theorem on Fixed Points Under Isometries

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