Isometries of probability measures with respect to the total variation distance

Autor:	Bojan Kuzma, Gregor Dolinar, Đorđe Mitrović
Rok vydání:	2022
Předmět:	Surjective function Total variation Pure mathematics Applied Mathematics Domain (ring theory) Bijection Absolute continuity Measure (mathematics) Analysis Probability measure Mathematics
Zdroj:	Journal of Mathematical Analysis and Applications. 507:125829
ISSN:	0022-247X
Popis:	We characterize surjective isometries of the total variation distance between various subsets of Borel probability measures. In the case when isometries are w ⁎ -continuous or in the case when their domain consists of measures which are absolutely continuous with respect to a fixed measure, such isometries are push-forwards, i.e., compositum of a measure with a bijection. When the domain consists of all Borel probability measures, their classification is more involved.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::d8f746e3bf94112320779c59ca7e2eb1 https://doi.org/10.1016/j.jmaa.2021.125829 Zobrazit plný text záznamu Full Text from ScienceDirect