Geodesic
On Convex Functions Having Points of Gateaux Differentiability Which are Not Points of Fréchet Differentiability
Canadian journal of mathematics, Tome 45 (1993) no. 6, pp. 1121-1134

Voir la notice de l'article provenant de la source Cambridge University Press

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 ł1. Explicit examples are given. Some renormings of WCG Asplund spaces are made in this vein.
DOI : 10.4153/CJM-1993-062-8
Mots-clés : 46G05, 46B03, 49J50, 58C20, 46A17, 46B20, 52A41, Key words and phrases:, Gateaux differentiability, Fréchet differentiability, weak Hadamard differentiability, (not)containing l1, renorming, weak*, Kadec property, convex functions, non-compact operators 
Borwein, J. M.; Fabian, M. On Convex Functions Having Points of Gateaux Differentiability Which are Not Points of Fréchet Differentiability. Canadian journal of mathematics, Tome 45 (1993) no. 6, pp. 1121-1134. doi: 10.4153/CJM-1993-062-8
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