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.
@article{bwmeta1.element.doi-10_2478_s11533-011-0034-y,
author = {Lajos Moln\'ar},
title = {Kolmogorov-Smirnov isometries and affine automorphisms of spaces of distribution functions},
journal = {Open Mathematics},
volume = {9},
year = {2011},
pages = {789-796},
zbl = {1239.46022},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-011-0034-y}
}
Lajos Molnár. Kolmogorov-Smirnov isometries and affine automorphisms of spaces of distribution functions. Open Mathematics, Tome 9 (2011) pp. 789-796. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-011-0034-y/
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