论文标题
$ l_ {1} $ - 矢量值Banach代数的属性
$L_{1}$- Properties of vector-valued Banach algebras
论文作者
论文摘要
令$ g $为本地紧凑型组，$ a $是标量字段$ \ mathbb {c} $上的通勤半完整的Banach代数。评估了不同类型的$ bse $ - Banach代数$ a $与Banach代数$ l^{1}（g，a）$之间的相关性。发现并批准$ m（g，a）= l^{1}（g，a）$，并且仅当$ g $是离散的。此外，给出了对矢量值量度代数的某些属性，因此$ m（g，a）$是卷积度量代数。
Let $G$ be a locally compact group and $A$ be a commutative semisimple Banach algebra over the scalar field $\mathbb{C}$. The correlation between different types of $BSE$- Banach algebras $A$, and the Banach algebras $L^{1}(G, A)$ are assessed. It is found and approved that $M(G, A) = L^{1}(G, A)$ if and only if $G$ is discrete. Furthermore, some properties of vector-valued measure algebras on groups are given, so that $M(G, A)$ is a convolution measure algebra.
