Matematičeskie zametki, Tome 20 (1976) no. 5, pp. 733-739
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M. Sh. Braverman; G. Ya. Lozanovskii. Extension of linear functionals in Banach spaces of measurable functions. Matematičeskie zametki, Tome 20 (1976) no. 5, pp. 733-739. http://geodesic.mathdoc.fr/item/MZM_1976_20_5_a12/
@article{MZM_1976_20_5_a12,
author = {M. Sh. Braverman and G. Ya. Lozanovskii},
title = {Extension of linear functionals in {Banach} spaces of measurable functions},
journal = {Matemati\v{c}eskie zametki},
pages = {733--739},
year = {1976},
volume = {20},
number = {5},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1976_20_5_a12/}
}
TY - JOUR
AU - M. Sh. Braverman
AU - G. Ya. Lozanovskii
TI - Extension of linear functionals in Banach spaces of measurable functions
JO - Matematičeskie zametki
PY - 1976
SP - 733
EP - 739
VL - 20
IS - 5
UR - http://geodesic.mathdoc.fr/item/MZM_1976_20_5_a12/
LA - ru
ID - MZM_1976_20_5_a12
ER -
%0 Journal Article
%A M. Sh. Braverman
%A G. Ya. Lozanovskii
%T Extension of linear functionals in Banach spaces of measurable functions
%J Matematičeskie zametki
%D 1976
%P 733-739
%V 20
%N 5
%U http://geodesic.mathdoc.fr/item/MZM_1976_20_5_a12/
%G ru
%F MZM_1976_20_5_a12
In this note the existence of an operator extending linear functionals from a subspace to the whole space is studied. It is shown that under certain conditions on the Banach lattice of measurable functions and on a suitable subspace, there exists a unique extension operator.
