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

نویسندگان

چکیده

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

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ژورنال

عنوان ژورنال: Constructive mathematical analysis

سال: 2021

ISSN: ['2651-2939']

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