巴拿赫代数上的共同e-Drazin可逆性OA
Joint e-Drazin invertibility in Banach algebras
设A为Banach代数,对于A中满足abn=bn+1,ban=an+1的元素a和b,证明了元素1-a和1-b同时具有e-Drazin可逆性、eg-Drazin可逆性以及ep-Drazin可逆性.并且,这些广义逆之间的具体关系表达式被明确给出.所得结果为观察1-a和1-b的(广义)Drazin逆提供了不同的视角.
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.
胡广飞;严锴
福州大学数学与统计学院,福州 350108福州大学数学与统计学院,福州 350108
数理科学
Drazin逆广义逆Banach代数Jacobson引理可逆性广义Drazin逆
Drazin inversegeneralized inverseBanach algebraJacobson lemmainvertibilitygeneralized Drazin inverse
《哈尔滨商业大学学报（自然科学版）》 2026 (1)
106-110,5
福建省自然科学基金项目(2022J01104).
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