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The generalized Drazin inverse of an operator matrix with commuting entries

  • Huanyin Chen and Marjan Sheibani Abdolyousefi EMAIL logo
Published/Copyright: October 4, 2023
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Abstract

We present new results for the generalized Drazin inverse of 2 × 2 anti-triangular matrices with commuting entries over a Banach algebra. As an application, the g-Drazin invertibility of block-operator matrices is obtained under new wider conditions.

MSC 2020: 15A09; 16U90; 46H05

Acknowledgements

The authors are sincerely grateful to the referee for careful reading and valuable suggestions.

References

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Received: 2023-02-14
Revised: 2023-05-21
Accepted: 2023-05-29
Published Online: 2023-10-04
Published in Print: 2024-04-01

© 2023 Walter de Gruyter GmbH, Berlin/Boston

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