Smooth approximations
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Publication:982503
DOI10.1016/j.jfa.2010.04.020zbMath1200.46073OpenAlexW4210493628MaRDI QIDQ982503
Publication date: 7 July 2010
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jfa.2010.04.020
Isomorphic theory (including renorming) of Banach spaces (46B03) Continuous and differentiable maps in nonlinear functional analysis (46T20) Nonlinear classification of Banach spaces; nonlinear quotients (46B80)
Related Items (14)
On smooth extensions of vector-valued functions defined on closed subsets of Banach spaces ⋮ Helping you finding an appropriate regularization process ⋮ Irreducibility and strong Feller property for stochastic evolution equations in Banach spaces ⋮ Invariance of closed convex cones for stochastic partial differential equations ⋮ Approximation of o-minimal maps satisfying a Lipschitz condition ⋮ Smooth extension of functions on a certain class of non-separable Banach spaces ⋮ A simple proof of the approximation by real analytic Lipschitz functions ⋮ Characterization of a Banach-Finsler manifold in terms of the algebras of smooth functions ⋮ Smooth extensions of functions on separable Banach spaces ⋮ On some problems on smooth approximation and smooth extension of Lipschitz functions on Banach-Finsler manifolds ⋮ Directional upper derivatives and the chain rule formula for locally Lipschitz functions on Banach spaces ⋮ Cone unrectifiable sets and non-differentiability of Lipschitz functions ⋮ Density and extension of differentiable functions on metric measure spaces ⋮ Approximation of Lipschitz functions preserving boundary values
Cites Work
- Approximation de fonctions différentiables sur certains espaces de Banach
- Approximation by \(C^p\)-smooth, Lipschitz functions on Banach spaces
- A remark on regularization in Hilbert spaces
- Embeddings into \(c_ 0\)
- Approximation by Lipschitz, \(C^p\) smooth functions on weakly compactly generated Banach spaces
- Uniformly Gâteaux smooth approximations on \(c_0(\varGamma)\)
- On nonlinear projections in Banach spaces
- Uniformly smooth partitions of unity on superreflexive Banach spaces
- Approximation by functions with bounded derivative on Banach spaces
- A New Proof that Metric Spaces are Paracompact
- On approximation in real Banach spaces
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