Linear bijections preserving the Hölder seminorm

DOI10.1090/S0002-9939-07-08756-4zbMath1123.46024OpenAlexW2024317474MaRDI QIDQ3438118

Antonio Jiménez-Vargas

Publication date: 15 May 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-07-08756-4

zbMATH Keywords

extreme pointsisometrylinear preserver problem

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (2)

Hölder seminorm preserving linear bijections and isometries ⋮ A characterization of nonlinear Hölder seminorm preserving bijections

Cites Work

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• Isometries between Banach spaces of Lipschitz functions
• Linear preserver problems: A brief introduction and some special techniques
• Diameter preserving linear bijections of \(C(X)\)
• Diameter preserving linear maps and isometries
• A note on Banach spaces of Lipschitz functions
• Linear Preserver Problems
• Banach spaces of Lipschitz functions
• On the isometries of spaces of Hölder continuous functions
• Banach Spaces of Lipschitz Functions and Vector-Valued Lipschitz Functions
• The Structure of Ideals and Point Derivations in Banach Algebras of Lipschitz Functions

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