This is an announcement for the paper "Smooth extensions of functions on separable Banach spaces" by D. Azagra, R. Fry, and L. Keener.
Abstract: Let $X$ be a Banach space with a separable dual $X^{*}$. Let $Y\subset X$ be a closed subspace, and $f:Y\to\mathbb{R}$ a $C^{1}$-smooth function. Then we show there is a $C^{1}$ extension of $f$ to $X$.
Archive classification: math.FA
Mathematics Subject Classification: 46B20
Remarks: 14 pages
The source file(s), AFKJune14.tex: 44778 bytes, is(are) stored in gzipped form as 0906.2989.gz with size 14kb. The corresponding postcript file has gzipped size 97kb.
Submitted from: dazagra@gmail.com
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