论文标题
张量产品Banach代数的BSE-Property
BSE-property of tensor product Banach algebras
论文作者
论文摘要
令$ a $和$ b $为交换性的半圣经Banach代数。在本文中，$ bse $和$ bed $ - 相对于Banach代数$ a $ a $和$ b $的张量Banach代数$ a {\ otimes}_γB$的属性。特别是，$ bse $和$ bed $ - 矢量值组的结构代数$ l_ {1}（g，a）$和$ c^{*} $ - algebra $ c_ {0}（x，a）$表征。
Let $A$ and $B$ be commutative semisimple Banach algebras. In this paper, the $BSE$ and $BED$- property of tensor Banach algebra $A{\otimes}_γ B$ with respect to the Banach algebras $A$ and $B$ are assesed. In particular, $BSE$ and $BED$- structure of vector-valued group algebra $L_{1}(G, A)$ and $C^{*}$- algebra $C_{0}(X, A)$ characterized.
