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Hölder seminorm preserving linear bijections and isometries

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Publication:839966
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DOI10.1007/s12044-009-0006-3zbMath1185.46015OpenAlexW2034924173MaRDI QIDQ839966

Miguel Ángel Navarro, Antonio Jiménez-Vargas

Publication date: 4 September 2009

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12044-009-0006-3

zbMATH Keywords

isometrylinear preserver problemBanach-Stone theoremLipschitz function


Mathematics Subject Classification ID

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


Related Items

A characterization of nonlinear Hölder seminorm preserving bijections, Homomorphisms on real-valued little Lipschitz function spaces



Cites Work

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  • Diameter preserving linear bijections of \(C(X)\)
  • Diameter preserving linear maps and isometries. II
  • Diameter preserving linear maps and isometries
  • Diameter-preserving linear bijections of function spaces
  • Linear bijections preserving the Hölder seminorm
  • Diameter-preserving maps on various classes of function spaces
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