论文标题
Banach * - 代理及其应用中的伪核心不可逆转性
Pseudo core invertibility in Banach *-algebras and its applications
论文作者
论文摘要
我们在BANACH代数中为伪核倒数呈现新的添加剂结果。在Banach *代数中,可以获得两个伪芯可逆元素的总和是伪核心可逆的必要条件。作为一种应用,研究了块复合矩阵的伪核心可逆性。这些扩展了Gao和Chen [Comm的伪核心的可逆性的主要结果。代数,46(2018),38--50]。
We present new additive results for the pseudo core inverse in a Banach algebra with involution. The necessary and sufficient conditions under which the sum of two pseudo core invertible elements in Banach *-algebra is pseudo core invertible are obtained. As an application, the pseudo core invertibility for block complex matrices is investigated. These extend the main results of pseudo core invertibility of Gao and Chen [Comm. Algebra, 46(2018), 38--50].