Geodesic
The extreme points of the unit ball of certain spaces of operators
Matematičeskie zametki, Tome 20 (1976) no. 4, pp. 521-527 
I. I. Tseitlin. The extreme points of the unit ball of certain spaces of operators. Matematičeskie zametki, Tome 20 (1976) no. 4, pp. 521-527. http://geodesic.mathdoc.fr/item/MZM_1976_20_4_a6/
@article{MZM_1976_20_4_a6,
     author = {I. I. Tseitlin},
     title = {The extreme points of the unit ball of certain spaces of operators},
     journal = {Matemati\v{c}eskie zametki},
     pages = {521--527},
     year = {1976},
     volume = {20},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1976_20_4_a6/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

In this note we discuss the set of extreme points of the unit ball of certain spaces of mappings. We prove that a mapping $T:E\to F'$ is an extreme point of the unit ball of the space $I(E,F')$ of integral mappings, if and only if it has the form $Tx=\langle x,a_0\rangle b_0$, where $a_0\in\operatorname{ext}S(E')$, $b_0\in\operatorname{ext}S(F')$