Extremal characterizations of asplund spaces

Mordukhovich, Boris; Shao, Yongheng

doi:10.1090/S0002-9939-96-03049-3

Extremal characterizations of asplund spaces
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by Boris S. Mordukhovich and Yongheng Shao PDF

Proc. Amer. Math. Soc. 124 (1996), 197-205 Request permission

Abstract:

We prove new characterizations of Asplund spaces through certain extremal principles in nonsmooth analysis and optimization. The latter principles provide necessary conditions for extremal points of set systems in terms of Fréchet normals and $\varepsilon$-normals.

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