On the range of the derivative of a real-valued function with bounded support

DOI10.4064/sm153-1-6zbMath1033.46036OpenAlexW2027016833MaRDI QIDQ4548986

Thierry Gaspari

Publication date: 27 August 2002

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/sm153-1-6

zbMATH Keywords

Fréchet differentiableinfinite-dimensional separable Banach space\(C^n\)-smooth bumprange of the derivative

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Continuity and differentiation questions (26B05) Continuous and differentiable maps in nonlinear functional analysis (46T20) Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items (6)

Filling analytic sets by the derivatives of 𝐶¹-smooth bumps ⋮ Smooth approximations without critical points ⋮ A note on the range of the derivatives of analytic approximations of uniformly continuous functions on \(c_0\) ⋮ Gradient ranges of bumps on the plane ⋮ On the range of the derivative of Gâteaux-smooth functions on separable Banach spaces ⋮ Construction of pathological Gâteaux differentiable functions

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