Spectral synthesis for Banach Algebras II
This paper continues the study of spectral synthesis and the topologies tau-infinity and tau-r on the ideal space of a Banach algebra, concentrating particularly on the class of Haagerup tensor products of C*-algebras. For this class, it is shown that spectral synthesis is equivalent to the Hausdorf...
| Main Authors: | , |
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| Format: | Article |
| Published: |
1999
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| Online Access: | https://eprints.nottingham.ac.uk/16/ |
| _version_ | 1848790351344566272 |
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| author | Feinstein, Joel Somerset, D.W.B. |
| author_facet | Feinstein, Joel Somerset, D.W.B. |
| author_sort | Feinstein, Joel |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | This paper continues the study of spectral synthesis and the topologies tau-infinity and tau-r on the ideal space of a Banach algebra, concentrating particularly on the class of Haagerup tensor products of C*-algebras. For this class, it is shown that spectral synthesis is equivalent to the Hausdorffness of tau_infinity. Under a weak extra condition, spectral synthesis is shown to be equivalent to the Hausdorffness of tau_r. |
| first_indexed | 2025-11-14T18:11:14Z |
| format | Article |
| id | nottingham-16 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T18:11:14Z |
| publishDate | 1999 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-162020-05-04T20:33:08Z https://eprints.nottingham.ac.uk/16/ Spectral synthesis for Banach Algebras II Feinstein, Joel Somerset, D.W.B. This paper continues the study of spectral synthesis and the topologies tau-infinity and tau-r on the ideal space of a Banach algebra, concentrating particularly on the class of Haagerup tensor products of C*-algebras. For this class, it is shown that spectral synthesis is equivalent to the Hausdorffness of tau_infinity. Under a weak extra condition, spectral synthesis is shown to be equivalent to the Hausdorffness of tau_r. 1999 Article NonPeerReviewed Feinstein, Joel and Somerset, D.W.B. (1999) Spectral synthesis for Banach Algebras II. |
| spellingShingle | Feinstein, Joel Somerset, D.W.B. Spectral synthesis for Banach Algebras II |
| title | Spectral synthesis for Banach Algebras II |
| title_full | Spectral synthesis for Banach Algebras II |
| title_fullStr | Spectral synthesis for Banach Algebras II |
| title_full_unstemmed | Spectral synthesis for Banach Algebras II |
| title_short | Spectral synthesis for Banach Algebras II |
| title_sort | spectral synthesis for banach algebras ii |
| url | https://eprints.nottingham.ac.uk/16/ |