Abstract
Let \(\mathcal {A}\) be a semisimple commutative Banach algebra with identity of norm one and G be a locally compact abelian group. In this paper, we study the 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.
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