JOEL FEINSTEIN joel.feinstein@nottingham.ac.uk
Associate Professor
Partial regularity and t-analytic sets for Banach function algebras
Feinstein, Joel; Mortini, Raymond
Authors
Raymond Mortini
Abstract
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.
Citation
Feinstein, J., & Mortini, R. (2012). Partial regularity and t-analytic sets for Banach function algebras. Mathematische Zeitschrift, 271(1-2), https://doi.org/10.1007/s00209-011-0856-0
Journal Article Type | Article |
---|---|
Acceptance Date | Feb 1, 2011 |
Online Publication Date | Mar 19, 2011 |
Publication Date | Jun 1, 2012 |
Deposit Date | Jan 29, 2015 |
Publicly Available Date | Jan 29, 2015 |
Journal | Mathematische Zeitschrift |
Print ISSN | 0025-5874 |
Electronic ISSN | 1432-1823 |
Publisher | Springer Verlag |
Peer Reviewed | Peer Reviewed |
Volume | 271 |
Issue | 1-2 |
DOI | https://doi.org/10.1007/s00209-011-0856-0 |
Public URL | https://nottingham-repository.worktribe.com/output/1007295 |
Publisher URL | http://link.springer.com/article/10.1007%2Fs00209-011-0856-0 |
Additional Information | The final publication is available at Springer via http://dx.doi.org/10.1007/s00209-011-0856-0 |
Contract Date | Jan 29, 2015 |
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Copyright Statement
Copyright information regarding this work can be found at the following address: http://creativecommons.org/licenses/by-nc-nd/4.0
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