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Smooth extensions of functions on separable Banach spaces

Azagra Rueda, Daniel and Fry, Robb and Keener , L. (2010) Smooth extensions of functions on separable Banach spaces. Mathematische Annalen, 347 (2). pp. 285-297. ISSN 0025-5831

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Abstract

Let X be a Banach space with a separable dual X*. Let Y subset of X be a closed subspace, and f : Y -> R a C(1)-smooth function. Then we show there is a C(1) extension of f to X.

Item Type:Article
Uncontrolled Keywords:Differentiable functions; closed-sets; c-m; approximation; subspaces; theorem
Subjects:Sciences > Mathematics > Functional analysis and Operator theory
ID Code:14743
Deposited On:17 Apr 2012 10:32
Last Modified:06 Feb 2014 10:07

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