Closed ideals in a new class of algebras of holomorphic functions on the disc

• Autorzy: Merino-Cruz H. , Wawrzyńczyk A.

Identyfikatory

DOI

10.14708/cm.v54i1.759

• Języki publikacji: EN

Abstrakty

EN

We define a new class of Banach algebras of holomorphic functions on the unit disc D which contains the algebras studied in [GMR2] and [GW]. To a function G of the class A₁(D) nowhere vanishing in D we associate a Banach algebra Aⁿ_G(D) contained in the disc algebra A(D). We prove that all closed ideals of AnG(D) of at most countable hull are of the standard form.

Słowa kluczowe

EN

Banach algebra; disc algebra; standard ideal

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2014
• Tom: Vol 54, No. 1
• Strony: 29--37
• Opis fizyczny: Bibliogr. 11 poz.

Twórcy

autor

Merino-Cruz H.

• Universidad Autónoma de Guerrero, Unidad Acad´emica de Matemáticas Av. Lázaro Cárdenas S/N, Col. La Haciendita 39127, Chilpancingo, Gro

autor

Wawrzyńczyk A.

• Departamento de Matemáticas,Universidad Autónoma Metropolitana-Iztapalapa AP 55-534, 09340 México D. F., México

Bibliografia

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