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

Szczegóły
Opis

Tytuł:: Ditkin’s condition and ideals with at most countable hull in algebras of functions analytic in the unit disc
Autorzy:: Sołtysiak, Andrzej
Wawrzyńczyk, Antoni
Tematy:: Closed ideals
Banach algebras
Ditkin's condition
Data publikacji:: 2012
Wydawca:: Polskie Towarzystwo Matematyczne
Język:: angielski
Prawa:: CC BY: Creative Commons Uznanie autorstwa 3.0 Unported
Źródło:: Commentationes Mathematicae; 2012, 52, 1
0373-8299
Dostawca treści:: Biblioteka Nauki
: Artykuł

Przejdź do źródła

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].

Informacja

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