Function algebras on compact planar sets

1977 ◽  
pp. 198-235
Author(s):  
Klaus Barbey ◽  
Heinz König
Keyword(s):  
Function Algebras ◽  
Compact Planar

scholarly journals A Note on Some Uniform Algebra Generated by Smooth Functions in the Plane

2012 ◽  
Vol 2012 ◽  
pp. 1-15 ◽  
Author(s):  
Raymond Mortini ◽  
Rudolf Rupp
Keyword(s):  
Maximal Ideal ◽  
Stable Rank ◽  
Uniform Algebra ◽  
Maximal Ideal Space ◽  
Ideal Space ◽  
Smooth Functions ◽  
Function Algebras ◽  
Classical Function ◽  
Complex Valued ◽  
Compact Planar

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 of . In this spirit, we also give elementary approaches to the calculation of these stable ranks for some classical function algebras on .

Function Algebras on Disks

2002 ◽  
Vol 47 (5) ◽  
pp. 447-451 ◽  
Author(s):  
Quang Dieu Nguyen ◽  
Peter de Paepe
Keyword(s):  
Function Algebras
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