Endomorphisms of Banach algebras of infinitely differentiable functions
In this note we study the endomorphisms of certain Banach algebras of infinitely differentiable functions on compact plane sets, associated with weight sequences M. These algebras were originally studied by Dales, Davie and McClure. In a previous paper this problem was solved in the case o...
| Main Authors: | , |
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| Format: | Article |
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1999
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| Online Access: | https://eprints.nottingham.ac.uk/17/ |
| _version_ | 1848790354260656128 |
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| author | Feinstein, Joel Kamowitz, Herbert |
| author_facet | Feinstein, Joel Kamowitz, Herbert |
| author_sort | Feinstein, Joel |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | In this note we study the endomorphisms of certain Banach algebras of infinitely differentiable functions on compact plane sets, associated with weight sequences M. These algebras were originally studied by Dales, Davie and McClure.
In a previous paper this problem was solved in the case of the unit interval for many weights M. Here we investigate the extent to which the methods used previously apply to general compact plane sets, and introduce some new methods. In particular, we obtain many results for the case of the closed unit disc.
This research was supported by EPSRC grant GR/M31132 |
| first_indexed | 2025-11-14T18:11:17Z |
| format | Article |
| id | nottingham-17 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T18:11:17Z |
| publishDate | 1999 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-172020-05-04T20:33:07Z https://eprints.nottingham.ac.uk/17/ Endomorphisms of Banach algebras of infinitely differentiable functions Feinstein, Joel Kamowitz, Herbert In this note we study the endomorphisms of certain Banach algebras of infinitely differentiable functions on compact plane sets, associated with weight sequences M. These algebras were originally studied by Dales, Davie and McClure. In a previous paper this problem was solved in the case of the unit interval for many weights M. Here we investigate the extent to which the methods used previously apply to general compact plane sets, and introduce some new methods. In particular, we obtain many results for the case of the closed unit disc. This research was supported by EPSRC grant GR/M31132 1999 Article PeerReviewed Feinstein, Joel and Kamowitz, Herbert (1999) Endomorphisms of Banach algebras of infinitely differentiable functions. |
| spellingShingle | Feinstein, Joel Kamowitz, Herbert Endomorphisms of Banach algebras of infinitely differentiable functions |
| title | Endomorphisms of Banach algebras of infinitely differentiable functions |
| title_full | Endomorphisms of Banach algebras of infinitely differentiable functions |
| title_fullStr | Endomorphisms of Banach algebras of infinitely differentiable functions |
| title_full_unstemmed | Endomorphisms of Banach algebras of infinitely differentiable functions |
| title_short | Endomorphisms of Banach algebras of infinitely differentiable functions |
| title_sort | endomorphisms of banach algebras of infinitely differentiable functions |
| url | https://eprints.nottingham.ac.uk/17/ |