Partial regularity and t-analytic sets for Banach function algebras
In this note we introduce the notion of t-analytic sets. Using this concept, we construct a class of closed prime ideals in Banach function algebras and discuss some problems related to Alling’s conjecture in H infinity. A description of all closed t-analytic sets for the disk-algebra is given. More...
| Main Authors: | , |
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| Format: | Article |
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Springer-Verlag
2012
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| Online Access: | https://eprints.nottingham.ac.uk/28010/ |
| _version_ | 1848793487798960128 |
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| author | Feinstein, Joel Mortini, Raymond |
| author_facet | Feinstein, Joel Mortini, Raymond |
| author_sort | Feinstein, Joel |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | In this note we introduce the notion of t-analytic sets. Using this concept, we construct a class of closed prime ideals in Banach function algebras and discuss some problems related to Alling’s conjecture in H infinity. A description of all closed t-analytic sets for the disk-algebra is given. Moreover, we show that some of the assertions in [8] concerning the O-analyticity and S-regularity of certain Banach function algebras are not correct. We also determine the largest set on which a Douglas algebra is pointwise regular. |
| first_indexed | 2025-11-14T19:01:05Z |
| format | Article |
| id | nottingham-28010 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:01:05Z |
| publishDate | 2012 |
| publisher | Springer-Verlag |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-280102020-05-04T20:21:36Z https://eprints.nottingham.ac.uk/28010/ Partial regularity and t-analytic sets for Banach function algebras Feinstein, Joel Mortini, Raymond In this note we introduce the notion of t-analytic sets. Using this concept, we construct a class of closed prime ideals in Banach function algebras and discuss some problems related to Alling’s conjecture in H infinity. A description of all closed t-analytic sets for the disk-algebra is given. Moreover, we show that some of the assertions in [8] concerning the O-analyticity and S-regularity of certain Banach function algebras are not correct. We also determine the largest set on which a Douglas algebra is pointwise regular. Springer-Verlag 2012-06 Article PeerReviewed Feinstein, Joel and Mortini, Raymond (2012) Partial regularity and t-analytic sets for Banach function algebras. Mathematische Zeitschrift, 271 (1-2). pp. 139-155. ISSN 0025-5874 http://link.springer.com/article/10.1007%2Fs00209-011-0856-0 doi:10.1007/s00209-011-0856-0 doi:10.1007/s00209-011-0856-0 |
| spellingShingle | Feinstein, Joel Mortini, Raymond Partial regularity and t-analytic sets for Banach function algebras |
| title | Partial regularity and t-analytic sets for Banach function algebras |
| title_full | Partial regularity and t-analytic sets for Banach function algebras |
| title_fullStr | Partial regularity and t-analytic sets for Banach function algebras |
| title_full_unstemmed | Partial regularity and t-analytic sets for Banach function algebras |
| title_short | Partial regularity and t-analytic sets for Banach function algebras |
| title_sort | partial regularity and t-analytic sets for banach function algebras |
| url | https://eprints.nottingham.ac.uk/28010/ https://eprints.nottingham.ac.uk/28010/ https://eprints.nottingham.ac.uk/28010/ |