C1-fine approximation of functions on Banach spaces with unconditional basis

DOI10.1093/qmath/hah020zbMath1102.41030OpenAlexW2116357379MaRDI QIDQ5708760

Mauricio Lovo, R. Fry, Jesús Angel Jaramillo, Daniel Azagra, Javier Gómez Gil

Publication date: 21 November 2005

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/qmath/hah020

zbMATH Keywords

fine approximationsmooth bumps

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Isomorphic theory (including renorming) of Banach spaces (46B03) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items (10)

Approximation by \(C^p\)-smooth, Lipschitz functions on Banach spaces ⋮ Approximation by smooth functions with no critical points on separable Banach spaces ⋮ Smooth approximation of Lipschitz functions on Riemannian manifolds ⋮ Invariance of closed convex cones for stochastic partial differential equations ⋮ Real analytic approximation of Lipschitz functions on Hilbert space and other Banach spaces ⋮ Characterization of a Banach-Finsler manifold in terms of the algebras of smooth functions ⋮ Corrigendum to ``Approximation by \(C^p\)-smooth, Lipschitz functions on Banach spaces ⋮ Smooth extensions of functions on separable Banach spaces ⋮ On some problems on smooth approximation and smooth extension of Lipschitz functions on Banach-Finsler manifolds ⋮ Extraction of critical points of smooth functions on Banach spaces

This page was built for publication: C1-fine approximation of functions on Banach spaces with unconditional basis