Kyungpook Mathematical Journal

  • 제64권2호
  • /
  • Pages.205-218
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  • 2024
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  • 1225-6951(pISSN)
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  • 0454-8124(eISSN)
경북대학교 자연과학대학 수학과 (Department of Mathematics, Kyungpook National University)
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The G-Drazin Inverse of an Operator Matrix over Banach Spaces

  • Farzaneh Tayebi (Department of Mathematics, Statistics and Computer Science, Semnan University) ;
  • Nahid Ashrafi (Department of Mathematics, Statistics and Computer Science, Semnan University) ;
  • Rahman Bahmani (Department of Mathematics, Statistics and Computer Science, Semnan University) ;
  • Marjan Sheibani Abdolyousefi (Farzanegan Campmus, Semnan University)
  • 투고 : 2023.06.29
  • 심사 : 2024.01.22
  • 발행 : 2024.06.30
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초록

Let 𝒜 be a Banach algebra. An element a ∈ 𝒜 has generalized Drazin inverse if there exists b ∈ 𝒜 such that b = bab, ab = ba, a - a2b ∈ 𝒜qnil. New additive results for the generalized Drazin inverse of an operator over a Banach space are presented. we extend the main results of a paper of Shakoor, Yang and Ali from 2013 and of Wang, Huang and Chen from 2017. Appling these results to 2×2 operator matrices we also generalize results of a paper of Deng, Cvetković-Ilić and Wei from 2010.

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참고문헌

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