C1-fine approximation of functions on Banach spaces with unconditional basis
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Publication:5708760
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
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)
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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
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