ar X iv : 0 90 6 . 29 89 v 1 [ m at h . FA ] 1 6 Ju n 20 09 Smooth extensions of functions on separable Banach spaces

Abstract

Let X be a Banach space with a separable dual X *. Let Y ⊂ 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. 

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Cite this paper

@inproceedings{AzagraarXI, title={ar X iv : 0 90 6 . 29 89 v 1 [ m at h . FA ] 1 6 Ju n 20 09 Smooth extensions of functions on separable Banach spaces}, author={Daniel Azagra and R. Fry and Laura L Keener} }