On Convex Functions Having Points of Gateaux Differentiability Which are Not Points of Fréchet Differentiability

DOI10.4153/CJM-1993-062-8zbMath0793.46021OpenAlexW2321097516MaRDI QIDQ4290147

Jonathan M. Borwein, Martin Fabian

Publication date: 3 May 1994

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cjm-1993-062-8

zbMATH Keywords

non-compact operators\(\text{weak}^*\) Kadec propertyBanach spaces containing \(\ell_ 1\)relationships between Gateaux, Fréchet and weak Hadamard differentiability of convex functions and of equivalent normsrenormings of WCG Asplund spaces

Mathematics Subject Classification ID

Fréchet and Gateaux differentiability in optimization (49J50) Geometry and structure of normed linear spaces (46B20) Convex functions and convex programs in convex geometry (52A41) Isomorphic theory (including renorming) of Banach spaces (46B03) Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20) Derivatives of functions in infinite-dimensional spaces (46G05) Bornologies and related structures; Mackey convergence, etc. (46A17)

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