The BSE property for vector-valued Frechet Lipschitz algebras

2021/12/18 by Ali Rejali, Rejali, Ali, Maryam Aghakoochaki +1
Mathematics · #Advanced Banach Space Theory #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #math.FA

paper · pdf · doi:10.48550/arxiv.2112.09982

arxiv created 2021/12/18 · openalex publication_date 2021/12/18 · arxiv updated 2021/12/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let ( X,d ) be a metric space with at least two elements and ( A , p_l ) be a commutative semisimple Frechet algebra over the scalar field of complex numbers. The correlation between the BSE-property of the Frechet algebra ( A , p_l ) and \Lip_d( X , A ) is assessed. It is found and approved that if \Lip_d( X , A ) is a BSE-Frechet algebra, then so is A. The opposite correlation will hold if ( A , p_l ) is unital.

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