Published January 1, 2020 | Version v1
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The p-Drazin Inverse for Operator Matrix over Banach Algebras

  • 1. Hangzhou Normal Univ, Dept Math, Hangzhou, Peoples R China
  • 2. Hubei Normal Univ, Dept Math, Huangshi, Hubei, Peoples R China
  • 3. Ankara Univ, Dept Math, Ankara, Turkey
  • 4. Ahi Evran Univ, Dept Math, Kirsehir, Turkey

Description

An element a in a Banach algebra A has p-Drazin inverse provided that there exists b is an element of comm(a) such that b = b(2)a, a(k) - a(k+1)b is an element of J(A) for some k is an element of N. In this paper, we present new conditions for a block operator matrix to have p-Drazin inverse. As applications, we prove the p-Drazin invertibility of the block operator matrix under certain spectral conditions.

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