Matematičeskie zametki, Tome 21 (1977) no. 1, pp. 99-108
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V. G. Sharapov. On exact endomorphisms with a quasi-invariant measure. Matematičeskie zametki, Tome 21 (1977) no. 1, pp. 99-108. http://geodesic.mathdoc.fr/item/MZM_1977_21_1_a11/
@article{MZM_1977_21_1_a11,
author = {V. G. Sharapov},
title = {On exact endomorphisms with a~quasi-invariant measure},
journal = {Matemati\v{c}eskie zametki},
pages = {99--108},
year = {1977},
volume = {21},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1977_21_1_a11/}
}
TY - JOUR
AU - V. G. Sharapov
TI - On exact endomorphisms with a quasi-invariant measure
JO - Matematičeskie zametki
PY - 1977
SP - 99
EP - 108
VL - 21
IS - 1
UR - http://geodesic.mathdoc.fr/item/MZM_1977_21_1_a11/
LA - ru
ID - MZM_1977_21_1_a11
ER -
%0 Journal Article
%A V. G. Sharapov
%T On exact endomorphisms with a quasi-invariant measure
%J Matematičeskie zametki
%D 1977
%P 99-108
%V 21
%N 1
%U http://geodesic.mathdoc.fr/item/MZM_1977_21_1_a11/
%G ru
%F MZM_1977_21_1_a11
In this paper it is proved that for any measurable partition $\xi$, $\xi\ne\varepsilon\pmod0$, of Lebesgue space with continuous measure that does not have elements of positive measure, there exists an exact endomorphism $T$ with a quasi-invariant measure for which $T^{-1}\varepsilon=\xi$.
