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Triple reverse order law for the Drazin inverse

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Abstract

In this paper, we investigate the reverse order law for Drazin inverse of three bounded linear operators under some commutation relations. Moreover, the Drazin invertibility of sum is also obtained for two bounded linear operators and its expression is presented.

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Authors and Affiliations

  1. College of Sciences, Inner Mongolia University of Technology, Hohhot, 010051, China

    Hua Wang & Cheng-cheng Zhong

  2. College of Engineering, University of Jinan Quancheng College, Yantai, 265600, China

    Cheng-cheng Zhong

Authors
  1. Hua Wang
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  2. Cheng-cheng Zhong
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Correspondence to Hua Wang.

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Conflict of interest The authors declare no conflict of interest.

Additional information

This work is supported by the NNSF of China(12261065), the NSF of Inner Mongolia(2022MS01005), the Basic Science Research Fund of the Universities Directly under the Inner Mongolia Autonomous Region(JY20220084), and the Program for Innovative Research Team in Universities of Inner Mongolia Autonomous Region(NMGIRT2317).

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Wang, H., Zhong, Cc. Triple reverse order law for the Drazin inverse. Appl. Math. J. Chin. Univ. 39, 55–68 (2024). https://doi.org/10.1007/s11766-024-4042-7

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  • DOI: https://doi.org/10.1007/s11766-024-4042-7

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