Sur la différentiabilité générique et le théorème de Banach–Stone

DOI10.1016/S0764-4442(00)00239-1zbMath0959.46029OpenAlexW3107100308MaRDI QIDQ4489343

Mohammed Bachir

Publication date: 20 April 2001

Published in: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0764-4442(00)00239-1

zbMATH Keywords

Hölder normwell posednessBanach-Stone theoremgeneric differentiabilityBanach space admitting a smooth bump functionFenchel-type conjugacyspace of all bounded \(\alpha\)-Hölder functions

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Fréchet and Gateaux differentiability in optimization (49J50) Geometry and structure of normed linear spaces (46B20) Isometric theory of Banach spaces (46B04) Group structures and generalizations on infinite-dimensional manifolds (58B25) Continuous and differentiable maps in nonlinear functional analysis (46T20) Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items (4)

AN EXTENSION OF THE BANACH–STONE THEOREM ⋮ The inf-convolution as a law of monoid. An analogue to the Banach-Stone theorem ⋮ A non-convex analogue to Fenchel duality ⋮ A dual characterisation of the Radon-Nikodym property

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