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Zbl 0920.46004
Borwein, J.; Fabian, M.; Vanderwerff, J.
Characterizations of Banach spaces via convex and other locally Lipschitz functions. (English)
[J] Acta Math. Vietnam. 22, No.1, 53-69 (1997). ISSN 0251-4184

Summary: Various properties of Banach spaces, including the reflexivity and the Schur property of a space, are characterized in terms of properties of corresponding classes of locally Lipschitz functions on those spaces.
MSC 2000:
*46A55 Convexity in topological linear spaces
46B20 Geometry and structure of normed spaces
52A41 Convex functions and convex programs (convex geometry)

Keywords: reflexivity; Schur property; locally Lipschitz functions

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