Diameter preserving linear maps and isometries

DOI10.1007/s000130050411zbMath0946.47019OpenAlexW4206786895MaRDI QIDQ1818250

Félix Cabello Sánchez

Publication date: 12 July 2000

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s000130050411

zbMATH Keywords

function spacesdiameter preserving maps

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Linear operators on function spaces (general) (47B38) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (20)

Hölder seminorm preserving linear bijections and isometries ⋮ Nonlinear diameter preserving maps between certain function spaces ⋮ Geometry of spaces of orthogonally additive polynomials on \(C(K)\) ⋮ There's something about the diameter ⋮ Linear bijections which preserve the diameter of vector-valued maps ⋮ Diameter preserving maps on function spaces ⋮ Chebyshev centres and centrable sets ⋮ 2-iso-reflexivity of pointed Lipschitz spaces ⋮ Algebraic reflexivity of diameter-preserving linear bijections between \(C(X)\)-spaces ⋮ A characterization of nonlinear Hölder seminorm preserving bijections ⋮ Diameter-preserving linear bijections of function spaces ⋮ Extreme points and the diameter norm ⋮ Linear mappings preserving the diameter of the numerical range ⋮ Transitivity in spaces of vector-valued functions ⋮ On 2-local diameter-preserving maps between \(C(X)\)-spaces ⋮ Nonlinear diameter preserving maps on function spaces ⋮ Diameter preserving linear maps and isometries. II ⋮ Linear bijections preserving the Hölder seminorm ⋮ Linear maps preserving maximal deviation and the Jordan structure of quantum systems ⋮ A characterization of locally compact spaces with homeomorphic one-point compactifications

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