Convex spaces: Classification by differentiable convex functions

DOI10.1017/S0004972700011734zbMath0747.58013MaRDI QIDQ3988192

Bernice Sharp, Roger Eyland

Publication date: 28 June 1992

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

zbMATH Keywords

bornologydifferentiability convex functions

Mathematics Subject Classification ID

Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20) Derivatives of functions in infinite-dimensional spaces (46G05) Bornologies and related structures; Mackey convergence, etc. (46A17)

Cites Work

• Banach spaces which are Asplund spaces
• Gaussian null sets and differentiability of Lipschitz map on Banach spaces
• Fréchet differentiability of convex functions
• Gateaux Differentiability of Convex Functions on Banach Spaces
• Continuity and Differentiability Properties of Convex Operators

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