Geodesic
Supplements to Michael's theorem on continuous selections, and their applications
Sbornik. Mathematics, Tome 77 (1994) no. 2, pp. 279-292

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Michael's well-known theorem on continuous selections is supplemented by ten equivalent conditions. The basic applications of the result obtained relate to the investigation of subdifferentiability of sublinear operators with values in spaces of continuous functions. Also, criteria are found for metrizability of convex dyadic compacta and symmetric convex Eberlein compacta, and for separability for certain classes of Banach spaces. 
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     author = {Yu. E. Linke},
     title = {Supplements to {Michael's} theorem on continuous selections, and their applications},
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Yu. E. Linke. Supplements to Michael's theorem on continuous selections, and their applications. Sbornik. Mathematics, Tome 77 (1994) no. 2, pp. 279-292. http://geodesic.mathdoc.fr/item/SM_1994_77_2_a1/