论文标题
矢量值组代数的BSE-核心
BSE-properties of Vector-valued group algebras
论文作者
论文摘要
令$ \ Mathcal {a} $为具有身份标准的norm and norm and $ g $的换向和半完整的Banach代数，为Abelian本地紧凑的Hausdorff组。在本文中，我们研究了$ l^1（g，\ mathcal a）$的bse-property $，并表明$ l^1（g，\ nathcal a）$是bse代数，并且仅在$ \ nathcal a $时才如此。
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.
