Differentiability Via Directional Derivatives

DOI10.2307/2042575zbMath0391.26004OpenAlexW4230623011MaRDI QIDQ4172250

Ka-Sing Lau, Clifford E. Weil

Publication date: 1978

Full work available at URL: https://doi.org/10.2307/2042575

zbMATH Keywords

Baire SpaceDifferentiabilityDirectional DerivativesBaire Class 1 FunctionDifferential Calculus in Topological Linear SpacesFunctions of Several VariablesGateaux DerivativeNondifferentiable Function

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99) Continuity and differentiation questions (26B05) Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items (3)

On generic second-order gateaux differentiability ⋮ Fréchet differentiability via partial Fréchet differentiability ⋮ The smooth variational principle and generic differentiability

Cites Work

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• Differential calculus in topological linear spaces
• Category theorems
• On topological, Lipschitz and uniform classification of LF-spaces
• On the differentiability of Lipschitz mappings in Fréchet spaces

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