2018/12/30 by Huanyin chen, chen, Huanyin, Sarjan Sheibani +1
Mathematics · #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Operator Algebras (math.OA) #Rings, Modules, and Algebras
paper · pdf · doi:10.48550/arxiv.1812.11618
openalex publication_date 2018/12/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let A be a Banach Algebra, we say that a∈ A has generalized Hirano inverse if there exists some b ∈ A such that b=b.a.b, a.b=b.a and a-a2.b is quasi nil potent, if and only if there exists some p=p3∈ A such that a-p is quasi nil potent.