A Note on Some Uniform Algebra Generated by Smooth Functions in the Plane
| Autor: | Raymond Mortini, Rudolf Rupp |
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| Jazyk: | angličtina |
| Rok vydání: | 2012 |
| Předmět: | |
| Zdroj: | Journal of Function Spaces and Applications, Vol 2012 (2012) |
| Druh dokumentu: | article |
| ISSN: | 0972-6802 1758-4965 |
| DOI: | 10.1155/2012/905650 |
| Popis: | 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. |
| Databáze: | Directory of Open Access Journals |
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