The differentiability of convex functions on topological linear spaces

DOI10.1017/S0004972700028379zbMath0717.46036MaRDI QIDQ5748435

Bernice Sharp

Publication date: 1990

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

zbMATH Keywords

differentiability of convex functions on Banach spacesGateaux and Fréchet differentiabilitydifferentiability of functions on topological linear spacesMazur's theorem for Banach spacesseparable Baire topological linear spaces are weak Asplund

Mathematics Subject Classification ID

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

Related Items

Weak$^{\ast }$ Hypertopologies with Application to Genericity of Convex Sets, Gateaux differentiability revisited

Cites Work

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• Convex functions, monotone operators and differentiability
• Banach spaces which are Asplund spaces
• Differential calculus in topological linear 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