On continuity points of Gâteaux differentiable mappings

DOI10.1007/BF00970998zbMath0840.46025OpenAlexW2034638740MaRDI QIDQ1204781

Stanislav Shkarin

Publication date: 28 March 1993

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

Full work available at URL: https://doi.org/10.1007/bf00970998

zbMATH Keywords

Borel mappingBaire topological vector spacesGâteaux-differentiable mapping

Mathematics Subject Classification ID

Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items (3)

Deterministic and stochastic differential equations in infinite- dimensional spaces ⋮ A remark on functions continuous on all lines ⋮ Hadamard differentiability via Gâteaux differentiability

Cites Work

• Differentiability of Lipschitz functions on Banach spaces
• Gateaux differentiable functions are somewhere Fréchet differentiable
• The various definitions of the derivative in linear topological spaces
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