Geodesic
Some properties of support functionals
Matematičeskie zametki, Tome 4 (1968) no. 6, pp. 685-696 
V. L. Levin. Some properties of support functionals. Matematičeskie zametki, Tome 4 (1968) no. 6, pp. 685-696. http://geodesic.mathdoc.fr/item/MZM_1968_4_6_a8/
@article{MZM_1968_4_6_a8,
     author = {V. L. Levin},
     title = {Some properties of support functionals},
     journal = {Matemati\v{c}eskie zametki},
     pages = {685--696},
     year = {1968},
     volume = {4},
     number = {6},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1968_4_6_a8/}
}
TY  - JOUR
AU  - V. L. Levin
TI  - Some properties of support functionals
JO  - Matematičeskie zametki
PY  - 1968
SP  - 685
EP  - 696
VL  - 4
IS  - 6
UR  - http://geodesic.mathdoc.fr/item/MZM_1968_4_6_a8/
LA  - ru
ID  - MZM_1968_4_6_a8
ER  - 
%0 Journal Article
%A V. L. Levin
%T Some properties of support functionals
%J Matematičeskie zametki
%D 1968
%P 685-696
%V 4
%N 6
%U http://geodesic.mathdoc.fr/item/MZM_1968_4_6_a8/
%G ru
%F MZM_1968_4_6_a8

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

The author considers convex functionals $f_t$ defined on the open convex subset $G$ of real $B$-space $X$ and continuous at $x_0\in G$. All linear functionals on $X$ which are support functionals of form $\int_Tf_t(x)\mu(dt)$ and $\max\limits_{t\in T}f_t(x)$ at $x_0$ are described.