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Additive Results of Group Inverses in Banach Algebras

Author

Listed:
  • Dayong Liu

    (College of Computer and Mathematics, Central South University of Forestry and Technology, Changsha 410004, China)

  • Huanyin Chen

    (School of Big Data, Fuzhou University of International Studies and Trade, Fuzhou 350202, China)

Abstract

In this paper, we present new presentations of group inverses for the sum of two group invertible elements in a Banach algebra. We then apply these results to block complex matrices. The group invertibility of certain block complex matrices is thereby obtained.

Suggested Citation

  • Dayong Liu & Huanyin Chen, 2024. "Additive Results of Group Inverses in Banach Algebras," Mathematics, MDPI, vol. 12(13), pages 1-10, June.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:13:p:2042-:d:1426166
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