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Lévy isometries of the space of probability distribution functions

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Publication:536290
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DOI10.1016/j.jmaa.2011.02.014zbMath1229.46019OpenAlexW2004579536MaRDI QIDQ536290

Lajos Molnár

Publication date: 16 May 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.02.014


zbMATH Keywords

surjective isometriesBanach-Stone type theoremKolmogorov-Smirnov metric


Mathematics Subject Classification ID

Isometric theory of Banach spaces (46B04) Spaces of measures (46E27)


Related Items

Isometric rigidity of Wasserstein spaces: The graph metric case ⋮ Isometric rigidity of Wasserstein tori and spheres ⋮ Quantum Wasserstein isometries on the qubit state space ⋮ Isometric study of Wasserstein spaces – the real line ⋮ Isometries of probability measures with respect to the total variation distance ⋮ On isometric embeddings of Wasserstein spaces -- the discrete case ⋮ On isometries of compact \(L^p\)-Wasserstein spaces



Cites Work

  • Isometries of the space of distribution functions with respect to the Kolmogorov-Smirnov metric
  • A metric for weak convergence of distribution functions
  • An Introduction to Measure and Probability
  • Unnamed Item
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