%0 Journal Article
%T A Note on Some Uniform Algebra Generated by Smooth Functions in the Plane
%A Raymond Mortini
%A Rudolf Rupp
%J Journal of Function Spaces and Applications
%D 2012
%I Hindawi Publishing Corporation
%R 10.1155/2012/905650
%X We determine, via classroom proofs, the maximal ideal space, the Bass stable rank as well as the topological and dense stable rank of the uniform closure of all complex-valued functions continuously differentiable on neighborhoods of a compact planar set  and holomorphic in the interior กใ of . In this spirit, we also give elementary approaches to the calculation of these stable ranks for some classical function algebras on .
%U http://www.hindawi.com/journals/jfsa/2012/905650/