Displaying similar documents to “On bijective isometries”

Isometries of normed spaces

Tadeusz Figiel, Peter Šemrl, Jussi Väisälä (2002)

Colloquium Mathematicae

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We improve the Mazur-Ulam theorem by relaxing the surjectivity condition.

Kolmogorov-Smirnov isometries and affine automorphisms of spaces of distribution functions

Lajos Molnár (2011)

Open Mathematics

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In this paper we describe the structure of surjective isometries of the spaces of all absolutely continuous, singular, or discrete probability distribution functions on R equipped with the Kolmogorov-Smirnov metric. We also study the structure of affine automorphisms of the space of all distribution functions.