New directions in convex analysis: the differentiability of convex functions on topological linear spaces

DOI10.1017/S0004972700018153zbMath0687.46029MaRDI QIDQ4205941

Bernice Sharp

Publication date: 1990

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

zbMATH Keywords

topological spacesspacesdifferentiability of operators on locally convex topologicaldifferentiability of operators on locally convex topological spacesdifferentiability properties of convex mappings on locally convexdifferentiability properties of convex mappings on locally convex topological spaces

Mathematics Subject Classification ID

Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20) Derivatives of functions in infinite-dimensional spaces (46G05)

Cites Work

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• Banach spaces which are Asplund spaces
• Fréchet differentiability of convex functions
• Generic differentiability of order-bounded convex oparators
• Gateaux Differentiability of Convex Functions on Banach Spaces
• Continuity and Differentiability Properties of Convex Operators
• The theory of differentiation in linear topological spaces
• The various definitions of the derivative in linear topological spaces