Geodesic
Ditkin’s condition and ideals with at most countable hull in algebras of functions analytic in the unit disc
Commentationes Mathematicae, Tome 52 (2012) no. 1, pp. 101-112.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

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].
DOI : 10.14708/cm.v52i1.5330
Mots-clés : Closed ideals, Banach algebras, Ditkin's condition 
@article{10_14708_cm_v52i1_5330,
     author = {Andrzej So{\l}tysiak and Antoni Wawrzy\'nczyk},
     title = {Ditkin{\textquoteright}s condition and ideals with at most countable hull in algebras of functions analytic in the unit disc},
     journal = {Commentationes Mathematicae},
     pages = { 101--112},
     publisher = {mathdoc},
     volume = {52},
     number = {1},
     year = {2012},
     doi = {10.14708/cm.v52i1.5330},
     language = {pl},
     url = {http://geodesic.mathdoc.fr/articles/10.14708/cm.v52i1.5330/}
}
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
SP  -  101
EP  - 112
VL  - 52
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.14708/cm.v52i1.5330/
DO  - 10.14708/cm.v52i1.5330
LA  - pl
ID  - 10_14708_cm_v52i1_5330
ER  - 
%0 Journal Article
%A Andrzej Sołtysiak
%A Antoni Wawrzyńczyk
%T Ditkin’s condition and ideals with at most countable hull in algebras of functions analytic in the unit disc
%J Commentationes Mathematicae
%D 2012
%P  101-112
%V 52
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.14708/cm.v52i1.5330/
%R 10.14708/cm.v52i1.5330
%G pl
%F 10_14708_cm_v52i1_5330
Andrzej Sołtysiak; Antoni Wawrzyńczyk. Ditkin’s condition and ideals with at most countable hull in algebras of functions analytic in the unit disc. Commentationes Mathematicae, Tome 52 (2012) no. 1, pp.  101-112. doi : 10.14708/cm.v52i1.5330. http://geodesic.mathdoc.fr/articles/10.14708/cm.v52i1.5330/

Cité par Sources :