Uniformly smooth partitions of unity on superreflexive Banach spaces

DOI10.4064/sm-70-2-129-137zbMath0485.46006OpenAlexW1537605053MaRDI QIDQ3945048

Kamil John, Václav Zizler, H. Torunczyk

Publication date: 1981

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

Full work available at URL: https://eudml.org/doc/218392

zbMATH Keywords

renormingssmooth partitions of unitysuperreflexive spacesfunctions with uniformly continuous differential

Mathematics Subject Classification ID

Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Duality and reflexivity in normed linear and Banach spaces (46B10)

Related Items (7)

A remark on smooth images of Banach spaces ⋮ On Whitney-type extension theorems on Banach spaces for \(C^{1, \omega}, C^{1,+}, C_{\operatorname{loc}}^{1, +}\), and \(C_{\operatorname{B}}^{1, +}\)-smooth functions ⋮ Smooth extension of functions on a certain class of non-separable Banach spaces ⋮ Smooth approximations ⋮ Uniformly Gâteaux smooth approximations on \(c_0(\varGamma)\) ⋮ On the spectrum of \(C^ 1_ b(E)\) ⋮ Multiplicative functionals on algebras of differentiable functions

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