论文标题
Banach代数的核心逆向
The Core Inverse in a Banach Algebra with Involution
论文作者
论文摘要
我们为Banach代数中的核心逆增添加成果提供了新的添加结果。我们获得了必要和充分的条件，根据该条件，Banach代数中两个核心可逆元素的总和是核心可逆的。然后，我们将结果应用于阻止复杂矩阵并获得某些条件，其中块复合物是可逆的。这些概括了许多已知的结果，例如〜\ cite [theorem 4.3] {xcz}，〜\ cite [theorem 2.5] {xs}。
We present new additive results for the core inverse in a Banach algebra with involution. We obtain necessary and sufficient conditions under which the sum of two core invertible elements in a Banach algebra with involution is core invertible. Then we apply our results to block complex matrices and obtain certain conditions under which a block complex is core invertible. These generalize many known results, e.g.,~\cite[Theorem 4.3]{XCZ}, ~\cite[Theorem 2.5]{XS}.
