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.
Banach function algebra of type I BSE-extension Inoue-Doss ideal BSE-algebra BED-algebra Tauberian Banach algebra
This work was supported by the Research Institute for Mathematical Sciences, a Joint Usage/Research Center located in Kyoto University.
Birincil Dil | İngilizce |
---|---|
Konular | Matematik |
Bölüm | Makaleler |
Yazarlar | |
Yayımlanma Tarihi | 16 Eylül 2021 |
Yayımlandığı Sayı | Yıl 2021 |