BSE-properties of Vector-valued group algebras

Abstract

Let $\mathcal{A}$ 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 $L^1(G,\mathcal{A})$ and show that $L^1(G,\mathcal{A})$ is a BSE algebra if and only if $\mathcal{A}$ is so.

arXiv commentarXiv admin note: text overlap with arXiv:2206.07123