Can a non-Lipschitz function operate non-trivially on a Banach space of functions?

DOI10.1006/JFAN.1994.1076zbMath0814.47076OpenAlexW2019901856MaRDI QIDQ1328323

Alain Bernard

Publication date: 22 August 1994

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1994.1076

zbMATH Keywords

autonomous Nemytskij operator

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Lipschitz (Hölder) classes (26A16)

Related Items (6)

Does a non-Lipschitz function operate on a non-trivial Banach function algebra? ⋮ Functions which operate on algebras of Fourier multipliers ⋮ Operating functions for Banach function spaces ⋮ Functional calculus for Banach function algebras and Banach function spaces of continuous functions vanishing at infinity ⋮ Functions operating from a complex Banach space to its real part ⋮ Extensions of Katznelson's square root theorem in the locally compact case

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