| 14 | Jacobson's Lemma for Generalized Drazin–Riesz Inverses显示文摘For bounded linear operators A,B,C and D on a Banach space X,we show that if BAC=BDB and CDB=CAC then I-AC is generalized Drazin-Riesz invertible if and only if I-BD is generalized Drazin-Riesz invertible,which gives a positive answer to Question 4.9 in Yan,Zeng and Zhu[Complex Anal.Oper.Theory 14,Paper No.12(2020)].In particular,we show that Jacobson’s lemma holds for generalized Drazin-Riesz inverses. | Soufiane HADJI Hassane ZGUITTI | 2023 | Acta Mathematica Sinica,English Series2023，39，3： | 0 |
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