On smoothing of maps in normed spaces

DOI10.1070/RM1988v043n04ABEH001870zbMath0709.46016OpenAlexW1966331754MaRDI QIDQ3492162

I. G. Tsar'kov, Sergei V. Konyagin

Publication date: 1988

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm1988v043n04abeh001870

zbMATH Keywords

Fréchet differentiable functionssuperreflexive spaceapproximating continuous mappings by smooth mapsLipschitz or Hölder continuous mapsreflexive normed linear space

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) Spaces of vector- and operator-valued functions (46E40) Banach spaces of continuous, differentiable or analytic functions (46E15) Approximation by other special function classes (41A30)

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