Abstract
We derive some equivalent conditions for the reverse order law \((PQ)^D=Q^DP^D\) to hold for Drazin invertible bounded linear operators P and Q. Moreover, the Drazin invertibility of sum is investigated for two bounded linear operators and the expression of Drazin inverse is presented. The results generalize some recent works.
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Communicated by Abbas Salemi.
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This work is supported by the NNSF of China (Nos. 11461049 and 11601249), and the NSF of Inner Mongolia (Nos. 2018MS01002 and 2017MS0118).
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Wang, H., Huang, J. Reverse Order Law for the Drazin Inverse in Banach Spaces. Bull. Iran. Math. Soc. 45, 1443–1456 (2019). https://doi.org/10.1007/s41980-019-00207-5
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DOI: https://doi.org/10.1007/s41980-019-00207-5