Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
Correction of metrics. / Zatitskiy, P.B.; Petrov, F.V.
в: Journal of Mathematical Sciences, Том 181, № 6, 2012, стр. 867-870.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Correction of metrics
AU - Zatitskiy, P.B.
AU - Petrov, F.V.
PY - 2012
Y1 - 2012
N2 - We prove that a symmetric nonnegative function of two variables on a Lebesgue space that satisfies the triangle inequality for almost all triples of points is equivalent to some semimetric. Some other properties of metric triples (spaces with structures of a measure space and a metric space) are discussed. Bibliography: 4 titles. © 2012 Springer Science+Business Media, Inc.
AB - We prove that a symmetric nonnegative function of two variables on a Lebesgue space that satisfies the triangle inequality for almost all triples of points is equivalent to some semimetric. Some other properties of metric triples (spaces with structures of a measure space and a metric space) are discussed. Bibliography: 4 titles. © 2012 Springer Science+Business Media, Inc.
U2 - 10.1007/s10958-012-0720-8
DO - 10.1007/s10958-012-0720-8
M3 - Article
VL - 181
SP - 867
EP - 870
JO - Journal of Mathematical Sciences
JF - Journal of Mathematical Sciences
SN - 1072-3374
IS - 6
ER -
ID: 8183230