Ditkin’s condition and ideals with at most countable hull in algebras of functions analytic in the unit disc

Andrzej Sołtysiak, and Antoni Wawrzyńczyk. "Ditkin’s condition and ideals with at most countable hull in algebras of functions analytic in the unit disc." Commentationes Mathematicae 52.1 (2012): null. <http://eudml.org/doc/291783>.

@article{AndrzejSołtysiak2012,
abstract = {Agrafeuil and Zarrabi in [1] characterized all closed ideals with at most countable hull in a unital Banach algebra embedded in the classical disc algebra and satisfying certain conditions ((H1), (H2), (H3)), and the analytic Ditkin condition. We modify Ditkin’s condition and show that analogous result is true for a wider class of algebras. This is an extension of the result obtained in [1].},
author = {Andrzej Sołtysiak, Antoni Wawrzyńczyk},
journal = {Commentationes Mathematicae},
keywords = {Closed ideals; Banach algebras; Ditkin's condition},
language = {eng},
number = {1},
pages = {null},
title = {Ditkin’s condition and ideals with at most countable hull in algebras of functions analytic in the unit disc},
url = {http://eudml.org/doc/291783},
volume = {52},
year = {2012},
}

TY - JOUR
AU - Andrzej Sołtysiak
AU - Antoni Wawrzyńczyk
TI - Ditkin’s condition and ideals with at most countable hull in algebras of functions analytic in the unit disc
JO - Commentationes Mathematicae
PY - 2012
VL - 52
IS - 1
SP - null
AB - Agrafeuil and Zarrabi in [1] characterized all closed ideals with at most countable hull in a unital Banach algebra embedded in the classical disc algebra and satisfying certain conditions ((H1), (H2), (H3)), and the analytic Ditkin condition. We modify Ditkin’s condition and show that analogous result is true for a wider class of algebras. This is an extension of the result obtained in [1].
LA - eng
KW - Closed ideals; Banach algebras; Ditkin's condition
UR - http://eudml.org/doc/291783
ER -