Geodesic
Some properties of support functionals
Matematičeskie zametki, Tome 4 (1968) no. 6, pp. 685-696.

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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. 
@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},
     publisher = {mathdoc},
     volume = {4},
     number = {6},
     year = {1968},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1968_4_6_a8/}
}
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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/