2019/04/26 by Huanyin Chen, Chen, Huanyin, Abdolyousefi, Marjan Sheibani
Computer Science · Mathematics · #Advanced Topics in Algebra #Algebraic and Geometric Analysis #FOS: Mathematics #Functional Analysis (math.FA) #Matrix Theory and Algorithms #Operator Algebras (math.OA) #Rings and Algebras (math.RA)
paper · pdf · doi:10.48550/arxiv.1904.11982
openalex publication_date 2019/04/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let R be an associative ring with an identity and suppose that a,b,c,d ∈ R satisfy bdb = bac,dbd = acd. If ac has generalized Drazin ( respectively, pseudo Drazin, Drazin) inverse, we prove that bd has generalized Drazin (respectively, pseudo Drazin, Drazin) inverse. In particular, as applications, we obtain new common spectral properties of bounded linear operators over Banach spaces.