Geodesic
Closed ideals in a new class of algebras of holomorphic functions on the disc
Commentationes Mathematicae, Tome 54 (2014) no. 1, pp. 29-37.

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

We define a new class of Banach algebras of holomorphic functions on the unit disc \(\mathbb{D}\) which contains the algebras studied in [GMR2] and [GW]. To a function G of the class \(\mathcal{A}^1 (\mathbb{D})\) nowhere vanishing in \(\mathbb{D}\) we associate a Banach algebra \(\mathcal{A}^n_G (\mathbb{D})\) contained in the disc algebra \(\mathcal{A}(\mathbb{D})\). We prove that all closed ideals of \(\mathcal{A}^n_G (\mathbb{D})\) of at most countable hull are of the standard form.
DOI : 10.14708/cm.v54i1.759
Classification : 46J15, 46J20, 30H50
Mots-clés : Banach algebra, disc algebra, standard ideal 
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Hector Merino-Cruz; Antoni Wawrzyńczyk. Closed ideals in a new class of algebras of holomorphic functions on the disc. Commentationes Mathematicae, Tome 54 (2014) no. 1, pp.  29-37. doi : 10.14708/cm.v54i1.759. http://geodesic.mathdoc.fr/articles/10.14708/cm.v54i1.759/

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