Abstract of a paper by D. Azagra, R. Fry, L. Keener
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 The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/0906.2989 or http://arXiv.org/abs/0906.2989 or by email in unzipped form by transmitting an empty message with subject line uget 0906.2989 or in gzipped form by using subject line get 0906.2989 to: math@arXiv.org.
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alspach@fourier.math.okstate.edu