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On Convex Functions Having Points of Gateaux Differentiability Which are Not Points of Fréchet Differentiability
J. M. Borwein, M. Fabian
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Source: Crossref
Published: Dec 1, 1993
DOI: 10.4153/cjm-1993-062-8
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Abstract We study the relationships between Gateaux, Fréchet and weak Hadamard differentiability of convex functions and of equivalent norms. As a consequence we provide related characterizations of infinite dimensional Banach spaces and of Banach spaces containing ł 1 . Explicit examples are given. Some renormings of WCG Asplund spaces are made in this vein.
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