Differentiable and Lipschitzian mappings of Banach spaces

DOI10.1007/BF01158417zbMath0671.46008MaRDI QIDQ1119867

Stanislav Shkarin, Vladimir I. Bogachev

Publication date: 1988

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

mappingFréchet differentiabilityRadon-Nikodym propertyLipschitzGateaux differentiabilityHadamard differentiable mapping

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items (1)

Directional upper derivatives and the chain rule formula for locally Lipschitz functions on Banach spaces

Cites Work

• Gateaux differentiable functions are somewhere Fréchet differentiable
• Geometry of Banach spaces. Selected topics
• Differentiation of real functions
• Gaussian null sets and differentiability of Lipschitz map on Banach spaces
• Potential theory on Hilbert space
• Generic Differentiability of Lipschitzian Functions
• Differentiability of Lipschitzian mappings between Banach spaces
• Differentiable functions on certain Banach spaces
• Conditions of differentiability in linear topological spaces
• Quasi-Differentiable Functions on Banach Spaces
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Differentiable and Lipschitzian mappings of Banach spaces