Diameter-preserving maps on various classes of function spaces

DOI10.4064/sm153-2-3zbMath1028.46053OpenAlexW1997899239MaRDI QIDQ4548823

Bruce A. Barnes, Ashoke K. Roy

Publication date: 27 August 2002

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/sm153-2-3

zbMATH Keywords

function spacediameter-preserving linear bijection

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Convex functions and convex programs in convex geometry (52A41) Linear operators on function spaces (general) (47B38) Convex sets in topological linear spaces; Choquet theory (46A55) Rings and algebras of continuous, differentiable or analytic functions (46E25)

Related Items (8)

Hölder seminorm preserving linear bijections and isometries ⋮ Nonlinear diameter preserving maps between certain function spaces ⋮ There's something about the diameter ⋮ Diameter preserving maps on function spaces ⋮ Algebraic reflexivity of diameter-preserving linear bijections between \(C(X)\)-spaces ⋮ Linear mappings preserving the diameter of the numerical range ⋮ On 2-local diameter-preserving maps between \(C(X)\)-spaces ⋮ Nonlinear diameter preserving maps on function spaces

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