论文标题
Banach代数中的总和倒数
The group inverse of the sum in a Banach algebra
论文作者
论文摘要
在本文中，我们提出了新的必要条件，在Banach代数中，两个组可逆元素的总和是逆的。然后，我们将这些结果应用于Banach空间上的操作矩阵。因此，获得了某些操作员块矩阵的组倒置。此外，本文扩展了在\ cite {l}中获得的结果。
In this paper, we present new necessary and sufficient conditions under which the sum of two group invertible elements in a Banach algebra has group inverse. We then apply these results to block operator matrices over Banach spaces. The group inverses of certain operator block matrices are thereby obtained. Additionally, this paper extends the results obtained in \cite{L}.
