@article { ,
title = {Partial regularity and t-analytic sets for Banach function algebras},
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 Allingâ€™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.},
doi = {10.1007/s00209-011-0856-0},
eissn = {1432-1823},
issn = {0025-5874},
issue = {1-2},
journal = {Mathematische Zeitschrift},
publicationstatus = {Published},
publisher = {Springer Verlag},
url = {https://nottingham-repository.worktribe.com/output/1007295},
volume = {271},
year = {2012},
author = {Feinstein, Joel and Mortini, Raymond}
}