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Correction of metrics. / Zatitskiy, P.B.; Petrov, F.V.

In: Journal of Mathematical Sciences, Vol. 181, No. 6, 2012, p. 867-870.

Research output: Contribution to journal › Article › peer-review

Harvard

Zatitskiy, PB & Petrov, FV 2012, 'Correction of metrics', Journal of Mathematical Sciences, vol. 181, no. 6, pp. 867-870. https://doi.org/10.1007/s10958-012-0720-8

APA

Zatitskiy, P. B., & Petrov, F. V. (2012). Correction of metrics. Journal of Mathematical Sciences, 181(6), 867-870. https://doi.org/10.1007/s10958-012-0720-8

Vancouver

Zatitskiy PB, Petrov FV. Correction of metrics. Journal of Mathematical Sciences. 2012;181(6):867-870. https://doi.org/10.1007/s10958-012-0720-8

Author

Zatitskiy, P.B. ; Petrov, F.V. / Correction of metrics. In: Journal of Mathematical Sciences. 2012 ; Vol. 181, No. 6. pp. 867-870.

BibTeX

@article{22c919d4aa204c09abfa94abe09f9f75,
title = "Correction of metrics",
abstract = "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. {\textcopyright} 2012 Springer Science+Business Media, Inc.",
author = "P.B. Zatitskiy and F.V. Petrov",
year = "2012",
doi = "10.1007/s10958-012-0720-8",
language = "English",
volume = "181",
pages = "867--870",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "6",

}

RIS

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