Geodesic
Strongly Exposed Points of Decomposable Sets in Spaces of Bochner Integrable Functions
Matematičeskie zametki, Tome 71 (2002) no. 2, pp. 298-306

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A characterization of strongly exposed points of a decomposable bounded closed convex set $\Gamma \subset L_p(T,X)$, where $1\le p\infty $, in terms of strongly exposed points of values of the set-valued representation $F\ :T\to 2^X$ of $\Gamma$ is given. As a corollary, necessary conditions characterizing strongly exposed points of the unit ball in $L_p(T,X)$, where $1\le p\infty $, in terms of strongly exposed points of the unit ball in $X$ are obtained. 
@article{MZM_2002_71_2_a12,
     author = {A. A. Tolstonogov},
     title = {Strongly {Exposed} {Points} of {Decomposable} {Sets} in {Spaces} of {Bochner} {Integrable} {Functions}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {298--306},
     publisher = {mathdoc},
     volume = {71},
     number = {2},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2002_71_2_a12/}
}
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A. A. Tolstonogov. Strongly Exposed Points of Decomposable Sets in Spaces of Bochner Integrable Functions. Matematičeskie zametki, Tome 71 (2002) no. 2, pp. 298-306. http://geodesic.mathdoc.fr/item/MZM_2002_71_2_a12/