On weak Hadamard differentiability of convex functions on Banach spaces

DOI10.1017/S000497270001515XzbMath0886.46050MaRDI QIDQ4346967

Scott Sciffer, John R. Giles

Publication date: 18 September 1997

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

continuous convex functionsuniform weak Hadamard differentiabilityweak Hadamard differentiabilityweak Hadamard directional differentiability

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Classical Banach spaces in the general theory (46B25) Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20) General theory of locally convex spaces (46A03) Derivatives of functions in infinite-dimensional spaces (46G05) Bornologies and related structures; Mackey convergence, etc. (46A17)

Related Items (4)

The generalised (uniform) Mazur Intersection Property ⋮ Sigma-finite dual dentability indices ⋮ On weak compactness in \(L_1\) spaces ⋮ Convergence of Slices, Geometric Aspects in Banach Spaces and Proximinality

Cites Work

• Unnamed Item
• Convex functions, monotone operators and differentiability.
• On Convex Functions Having Points of Gateaux Differentiability Which are Not Points of Fréchet Differentiability
• A Weak Hadamard Smooth Renorming of L₁(Ω, μ)
• On Upper Semicontinuity of Duality Mappings

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