- Tytuł:
- Closed ideals in a new class of algebras of holomorphic functions on the disc
- Autorzy:
-
Merino-Cruz, Hector
Wawrzyńczyk, Antoni - Powiązania:
- https://bibliotekanauki.pl/articles/1912864.pdf
- Data publikacji:
- 2014
- Wydawca:
- Polskie Towarzystwo Matematyczne
- Tematy:
-
Banach algebra
disc algebra
standard ideal - Opis:
- 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.
- Źródło:
-
Commentationes Mathematicae; 2014, 54, 1
0373-8299 - Pojawia się w:
- Commentationes Mathematicae
- Dostawca treści:
- Biblioteka Nauki
Artykuł