Smooth negligibility of compact sets in infinite-dimensional Banach spaces, with applications

DOI10.1007/s002080050231zbMath0917.46007OpenAlexW1972982445MaRDI QIDQ1277278

Tadeusz Dobrowolski, Daniel Azagra

Publication date: 19 July 1999

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eprints.ucm.es/id/eprint/13947/1/1998smoothnegligi.pdf

zbMATH Keywords

\(C^p\) diffeomorphisms\(C^p\) smooth normcomplete smooth classification of the convex bodies of every Banach spaceexistence of periodic diffeomorphisms without fixed pointsGaray's phenomena for ODE's in Banach spaces

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Infinite-dimensional manifolds (58B99)

Related Items (12)

Uniform approximation of continuous mappings by smooth mappings with no critical points on Hilbert manifolds ⋮ Unnamed Item ⋮ Local inversion for differentiable functions and the Darboux property ⋮ On the topological classification of starlike bodies in Banach spaces ⋮ Polynomial algebras and smooth functions in Banach spaces ⋮ Cross-sections of solution funnels ⋮ James' theorem fails for starlike bodies ⋮ The failure of Rolle's theorem in infinite-dimensional Banach spaces ⋮ Some problems on ordinary differential equations in Banach spaces ⋮ Extraction of critical points of smooth functions on Banach spaces ⋮ Compactness, Optimality, and Risk ⋮ Smooth approximations without critical points of continuous mappings between Banach spaces, and diffeomorphic extractions of sets

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