Published January 1, 2019 | Version v1
Journal article Open

ps-Drazin Inverses in Banach Algebras

  • 1. Hangzhou Normal Univ, Dept Math, Hangzhou, Zhejiang, Peoples R China
  • 2. Ankara Univ, Dept Math, Ankara, Turkey

Description

An element a in a Banach algebra A has ps-Drazin inverse if there exists p(2) = p is an element of comm(2)(a) such that (a - p)(k) is an element of J(A) for some k is an element of N. Let A be a Banach algebra, and let a, b is an element of have ps-Drazin inverses. If a(2)b = aba and b(2)a = bab, we prove that

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