Normed Linear Spaces that are Uniformly Convex in Every Direction

DOI10.4153/CJM-1971-109-5zbMath0229.46020MaRDI QIDQ5637423

Robert C. James, Mahlon Marsh Day, Srinivasa Swaminathan

Publication date: 1971

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Isomorphic theory (including renorming) of Banach spaces (46B03) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Convex sets in topological linear spaces; Choquet theory (46A55)

Related Items (19)

Relative rotundity in \(L^ p(X)\) ⋮ Relatively Nonexpansive Mappings in k-Uniformly Convex Banach Spaces ⋮ A reflexive space with normal structure that admits no UCED norm ⋮ Fixed points of nonexpansive mappings ⋮ Some questions in metric fixed point theory, by A. W. Kirk, revisited ⋮ Approximation by certain subspaces in the Banach space of continuous vector-valued functions ⋮ A characterization of proximal normal structure via proximal diametral sequences ⋮ Relative Chebyshev centers in normed linear spaces. I ⋮ Continuity properties of Chebyshev centers ⋮ Asymptotic Chebyshev centers ⋮ Best simultaneous approximation of an infinite set of functions ⋮ A note on properties that imply the fixed point property ⋮ Unnamed Item ⋮ Some examples concerning rotundity in Banach spaces ⋮ Global optimization of cyclic Kannan nonexpansive mappings in nonreflexive Banach spaces ⋮ Relative Chebyshev centers in normed linear spaces. II ⋮ Nonexpansive mappings in metric and Banach spaces ⋮ Spaces 𝐶(𝐾) with an equivalent URED norm ⋮ On new generalizations of Smarzewski's fixed point theorem

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