Geodesic
On isometries in vector-valued $L^p$-spaces
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part X, Tome 107 (1982), pp. 198-203

Voir la notice de l'article provenant de la source Math-Net.Ru

The results by A. I. Plotkin on the equimeasurability of a function and its $L^p$-isometric image are extended to the isometries in some vector-valued $L^p$-spaces. The isometries of $L^p(X;C(K))$ are characterized. 
@article{ZNSL_1982_107_a14,
     author = {A. L. Koldobskii},
     title = {On isometries in vector-valued $L^p$-spaces},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {198--203},
     publisher = {mathdoc},
     volume = {107},
     year = {1982},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1982_107_a14/}
}
TY  - JOUR
AU  - A. L. Koldobskii
TI  - On isometries in vector-valued $L^p$-spaces
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 1982
SP  - 198
EP  - 203
VL  - 107
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZNSL_1982_107_a14/
LA  - ru
ID  - ZNSL_1982_107_a14
ER  - 
%0 Journal Article
%A A. L. Koldobskii
%T On isometries in vector-valued $L^p$-spaces
%J Zapiski Nauchnykh Seminarov POMI
%D 1982
%P 198-203
%V 107
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZNSL_1982_107_a14/
%G ru
%F ZNSL_1982_107_a14
A. L. Koldobskii. On isometries in vector-valued $L^p$-spaces. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part X, Tome 107 (1982), pp. 198-203. http://geodesic.mathdoc.fr/item/ZNSL_1982_107_a14/