scientific article; zbMATH DE number 919883
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Publication:4890742
zbMath0857.46008MaRDI QIDQ4890742
Vladimir P. Fonf, Petr Hájek, Robert Deville
Publication date: 23 October 1996
Full work available at URL: https://eudml.org/doc/216321
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
approximationconvex functiongeometry of Banach spaces\(C^{p-1}\)-smooth normsevery equivalent norm can be approximated uniformly on bounded sets by analytic norms
Geometry and structure of normed linear spaces (46B20) Infinite-dimensional holomorphy (46G20) Isomorphic theory (including renorming) of Banach spaces (46B03) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)
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Every closed convex set is the set of minimizers of some $C^{\infty }$-smooth convex function ⋮ Perturbed smooth Lipschitz extensions of uniformly continuous functions on Banach spaces ⋮ Renormings preserving local geometry at countably many points in spheres of Banach spaces and applications ⋮ Smooth and polyhedral approximation in Banach spaces ⋮ Real analytic approximation of Lipschitz functions on Hilbert space and other Banach spaces ⋮ Approximation of norms on Banach spaces ⋮ 𝐶^{𝑘}-smooth approximations of LUR norms ⋮ Some remarks on smooth renormings of Banach spaces ⋮ Approximation of Lipschitz functions by \(\Delta\)-convex functions in Banach spaces
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