Geodesic
Completions of normed algebras of differentiable functions
William J. Bland1 ; Joel F. Feinstein1
1 School of Mathematical Sciences University of Nottingham Nottingham NG7 2RD, England
Studia Mathematica, Tome 170 (2005) no. 1, pp. 89-111

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We look at normed spaces of differentiable functions on compact plane sets, including the spaces of infinitely differentiable functions considered by Dales and Davie in [7]. For many compact plane sets the classical definitions give rise to incomplete spaces. We introduce an alternative definition of differentiability which allows us to describe the completions of these spaces. We also consider some associated problems of polynomial and rational approximation.
DOI : 10.4064/sm170-1-5
Keywords: look normed spaces differentiable functions compact plane sets including spaces infinitely differentiable functions considered dales davie many compact plane sets classical definitions rise incomplete spaces introduce alternative definition differentiability which allows describe completions these spaces consider associated problems polynomial rational approximation

William J. Bland 1 ; Joel F. Feinstein 1

1 School of Mathematical Sciences University of Nottingham Nottingham NG7 2RD, England 
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William J. Bland; Joel F. Feinstein. Completions of normed algebras of differentiable functions. Studia Mathematica, Tome 170 (2005) no. 1, pp. 89-111. doi: 10.4064/sm170-1-5

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