Further results on common properties of the products ac and bd
Further results on common properties of the products ac and bd
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DOI：
10.3336/gm.55.2.07
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发表时间：
2020-12
影响因子：
0.4
通讯作者：
Qingping Zeng;Kai Yan;Zhenying Wu
中科院分区：
文献类型：
--
作者：
Qingping Zeng;Kai Yan;Zhenying Wu
在本文中，我们继续研究了在acd=dbd和dba=aca的假设下，在不同种类的乘积ac和bd的共同性质。这些性质包括环上的广义强Drazin可逆性和广义Hirano可逆性，Banach代数环境中Fredholm元素和B-Fredholm元素的抽象索引，Banach空间上有界线性算子核的可补性和值域。
In this paper, we continue to investigate common properties of the products ac and bd in various categories under the assumption acd=dbd and dba=aca. These properties include generalized strongly Drazin invertibility and generalized Hirano invertibility in rings, abstract index of Fredholm elements and B-Fredholm elements in the Banach algebra context, complementability of kernels and ranges for bounded linear operators on Banach spaces.