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.
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Displaying similar documents to “On bijective isometries”
Isometries of normed spaces
Isometries and approximate isometries.
Rassias, Themistocles M. (2001)
International Journal of Mathematics and Mathematical Sciences
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Affine Anosov diffeomorphims of affine manifolds.
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International Journal of Mathematics and Mathematical Sciences
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On the connection of recurrence of metric, eigen tensors and transition of length in W-On spaces.
A. Moór, Dj.F. Nadj (1980)
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Makeev, V.V. (2005)
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Rassias, Themistocles M.
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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.