Isomorphism Problem in a Special Class of Banach Function Algebras and its Application

Sın-eı TAKAHASI; Kiyoshi SHİRAYANAGİ; Makoto TSUKADA

doi:https://doi.org/10.33205/cma.952056

Makale detayları

Isomorphism Problem in a Special Class of Banach Function Algebras and its Application

Yazarlar:

Sın-eı TAKAHASI | Kiyoshi SHİRAYANAGİ | Makoto TSUKADA

Yayıncı:

Tuncer ACAR

Ana Başlıklar:

Matematik

Dergi:

Constructive Mathematical Analysis 2021 Vol.4 Issue 3, pp.305-317

Belge Tipi:

Makale

Yayın Tarihi:

9/2021

Belge Dili:

İngilizce

Document ID (Org No.):

2000914133

Sıklık:

Üç Aylık

pISSN:

2651-2939

DOI:

https://doi.org/10.33205/cma.952056

Özet:

 

Given a weight function τ, we introduce a new class of Banach function algebras with respect to τ,
denoted by C_0b(X, τ ). We provide a complete solution to the isomorphism problem in this class. We further characterize the BSE-extension and the Inoue-Doss ideal associated with it. As an application of our results, we show the
equivalence of the four statements: (i) C_0b(X, τ) is of BSE, (ii) C_0b(X, τ) is of BED, (iii) C_0b(X, τ) is Tauberian and (iv)
τ is bounded.

Makale detayları

Isomorphism Problem in a Special Class of Banach Function Algebras and its Application

Yazarlar: Sın-eı TAKAHASI | Kiyoshi SHİRAYANAGİ | Makoto TSUKADA

Yayıncı: Tuncer ACAR

Ana Başlıklar: Matematik

Dergi: Constructive Mathematical Analysis 2021 Vol.4 Issue 3, pp.305-317

Belge Tipi: Makale

Yayın Tarihi: 9/2021

Belge Dili: İngilizce

Document ID (Org No.): 2000914133

Sıklık: Üç Aylık

pISSN: 2651-2939

DOI: https://doi.org/10.33205/cma.952056

Sayı

Yazarlar:

Sın-eı TAKAHASI | Kiyoshi SHİRAYANAGİ | Makoto TSUKADA

Yayıncı:

Tuncer ACAR

Ana Başlıklar:

Matematik

Dergi:

Constructive Mathematical Analysis 2021 Vol.4 Issue 3, pp.305-317

Belge Tipi:

Makale

Yayın Tarihi:

9/2021

Belge Dili:

İngilizce

Document ID (Org No.):

2000914133

Sıklık:

Üç Aylık

pISSN:

2651-2939

DOI:

https://doi.org/10.33205/cma.952056