Geodesic
Application of Michael's theorem and its converse to sublinear operators
Matematičeskie zametki, Tome 52 (1992) no. 1, pp. 67-75 Cet article a éte moissonné depuis la source Math-Net.Ru

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A theorem of Michael on continuous selectors and its converse are used in this article to study subdifferentials of continuous sublinear operators with values in a cone of lower semicontinuous functions. It is proved that such operators are subdifferentiable (i.e., have nonempty subdifferentials) if their domains are separable Banach spaces. Sublinear operators that are not subdifferentiable are found. 
@article{MZM_1992_52_1_a10,
     author = {Yu. E. Linke},
     title = {Application of {Michael's} theorem and its converse to sublinear operators},
     journal = {Matemati\v{c}eskie zametki},
     pages = {67--75},
     year = {1992},
     volume = {52},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1992_52_1_a10/}
}
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Yu. E. Linke. Application of Michael's theorem and its converse to sublinear operators. Matematičeskie zametki, Tome 52 (1992) no. 1, pp. 67-75. http://geodesic.mathdoc.fr/item/MZM_1992_52_1_a10/