哈尔滨商业大学学报（自然科学版）2026，Vol.42Issue(1)：106-110,5.
巴拿赫代数上的共同e-Drazin可逆性
Joint e-Drazin invertibility in Banach algebras
摘要
Abstract
Let A be a Banach algebra,for elements a and b in A satisfying abn=bn+1 and ban=an+1,this paper established that the elements 1-a and 1-b simultaneously exhibited e-Drazin invertibility,eg-Drazin invertibility and ep-Drazin invertibility.Furthermore,explicit relational expressions between these generalized inverses were derived.The results obtained in this work offered alternative perspectives for investigating the(gerneralized)Drazin inverses of 1-a and 1-b.关键词
Drazin逆/广义逆/Banach代数/Jacobson引理/可逆性/广义Drazin逆Key words
Drazin inverse/generalized inverse/Banach algebra/Jacobson lemma/invertibility/generalized Drazin inverse分类
数理科学引用本文复制引用
胡广飞,严锴..巴拿赫代数上的共同e-Drazin可逆性[J].哈尔滨商业大学学报（自然科学版）,2026,42(1):106-110,5.基金项目
福建省自然科学基金项目(2022J01104). （2022J01104）
