- Title
- On convex functions having points of Gateaux differentiability which are not points of Fréchet differentiability
- Creator
- Borwein, J. M.; Fabian, M.
- Relation
- Canadian Journal of Mathematics Vol. 45, Issue 6, p. 1121-1134
- Publisher Link
- http://dx.doi.org/10.4153/CJM-1993-062-8
- Publisher
- Canadian Mathematical Society
- Resource Type
- journal article
- Date
- 1993
- Description
- 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.
- Subject
- convex functions; Gateaux; Fréchet; differentiability; Banach spaces; Asplund spaces
- Identifier
- http://hdl.handle.net/1959.13/940883
- Identifier
- uon:13117
- Identifier
- ISSN:0008-414X
- Language
- eng
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