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 12:32 |
| Last Modified: | 17 Apr 2012 12:32 |
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