![](/images/graphics-bg.png)
A Note on Some Uniform Algebra Generated by Smooth Functions in the Plane
Joint Authors
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-02-13
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
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 K and holomorphic in the interior K∘ of K.
In this spirit, we also give elementary approaches to the calculation of these stable ranks for some classical function algebras on K.
American Psychological Association (APA)
Mortini, Raymond& Rupp, Rudolf. 2012. A Note on Some Uniform Algebra Generated by Smooth Functions in the Plane. Journal of Function Spaces،Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-994265
Modern Language Association (MLA)
Mortini, Raymond& Rupp, Rudolf. A Note on Some Uniform Algebra Generated by Smooth Functions in the Plane. Journal of Function Spaces No. 2012 (2012), pp.1-15.
https://search.emarefa.net/detail/BIM-994265
American Medical Association (AMA)
Mortini, Raymond& Rupp, Rudolf. A Note on Some Uniform Algebra Generated by Smooth Functions in the Plane. Journal of Function Spaces. 2012. Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-994265
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-994265