一类新型广义逆及其应用  

A New Type of Generalized Inverse and Its Applications

作　　者：金雅妮 陈焕艮 JIN Yani;CHEN Huanyin(School of Mathematics,Hangzhou Normal University,Hangzhou 311121,China)

机构地区：[1]杭州师范大学数学学院,浙江杭州311121

出　　处：《杭州师范大学学报（自然科学版）》2023年第3期296-304,共9页Journal of Hangzhou Normal University(Natural Science Edition)

基　　金：浙江省自然科学基金项目(LY21A010018).

摘　　要：引进了一类Banach代数的新型广义逆并研究了它的等价特征,在正交条件和交换条件下讨论了它们的加法不变性.作为应用,探究了Banach空间上算子矩阵的Mosic-Abyzov可逆性,获得了算子矩阵拟Nil-clean性刻画.A new type of generalized inverse of Banach algebra was introduced and its equivalent characteristics were studied.Under certain orthogonal and commutative conditions,its additive invariant properties were discussed.As an application,the Mosic-Abyzov invertibility of operator matrices on Banach spaces was investigated.Moreover,the quasi Nil-clean properties for operator matrices were also obtained.

关 键 词：广义逆 拟Nil-clean性 Peirce分解 BANACH代数 算子矩阵 

分 类 号：O153.3[理学—数学]