Partial regularity and t-analytic sets for Banach function algebras

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

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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.

Item Type: Article
RIS ID: https://nottingham-repository.worktribe.com/output/1007295
Additional Information: The final publication is available at Springer via http://dx.doi.org/10.1007/s00209-011-0856-0
Schools/Departments: University of Nottingham, UK > Faculty of Science > School of Mathematical Sciences
Identification Number: https://doi.org/10.1007/s00209-011-0856-0
Depositing User: Feinstein, Joel Francis
Date Deposited: 29 Jan 2015 14:59
Last Modified: 04 May 2020 20:21
URI: http://eprints.nottingham.ac.uk/id/eprint/28010

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