Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 4 (1997) no. 3, pp. 339-347
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Mikhail G. Zaidenberg. A representation of isometries on function spaces. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 4 (1997) no. 3, pp. 339-347. http://geodesic.mathdoc.fr/item/JMAG_1997_4_3_a5/
@article{JMAG_1997_4_3_a5,
author = {Mikhail G. Zaidenberg},
title = {A representation of isometries on function spaces},
journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
pages = {339--347},
year = {1997},
volume = {4},
number = {3},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JMAG_1997_4_3_a5/}
}
TY - JOUR
AU - Mikhail G. Zaidenberg
TI - A representation of isometries on function spaces
JO - Žurnal matematičeskoj fiziki, analiza, geometrii
PY - 1997
SP - 339
EP - 347
VL - 4
IS - 3
UR - http://geodesic.mathdoc.fr/item/JMAG_1997_4_3_a5/
LA - en
ID - JMAG_1997_4_3_a5
ER -
%0 Journal Article
%A Mikhail G. Zaidenberg
%T A representation of isometries on function spaces
%J Žurnal matematičeskoj fiziki, analiza, geometrii
%D 1997
%P 339-347
%V 4
%N 3
%U http://geodesic.mathdoc.fr/item/JMAG_1997_4_3_a5/
%G en
%F JMAG_1997_4_3_a5
The main result states that every surjective isometry between two ideal Banach lattices of mesurable functions which satisfy certain conditions, can be represented as composition of an operator of mesurable change of variable and an operator of multiplication by a mesurable function.
