BSE-properties of Vector-valued group algebras

2022/06/22 by Ali Rejali, Rejali, Ali, Mitra Amiri +1
Mathematics · #Advanced Banach Space Theory #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA)

paper · pdf · doi:10.48550/arxiv.2206.11237

openalex publication_date 2022/06/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let A be a commutative and semisimple Banach algebra with identity norm one and G be an abelian locally compact Hausdorff group. In this paper, we study BSE-Property for L¹(G,\mathcal A) and show that L¹(G,\mathcal A) is a BSE algebra if and only if \mathcal A is so.

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• L₁- Properties of vector-valued Banach algebras
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