대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제37권3호
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  • Pages.705-718
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  • 2022
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  • 1225-1763(pISSN)
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  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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THE DRAZIN INVERSE OF THE SUM OF TWO PRODUCTS

  • Chrifi, Safae Alaoui (Sidi Mohamed Ben Abdellah University Faculty of Sciences Dhar Al Mahraz Laboratory of Mathematical Sciences and Applications (LASMA)) ;
  • Tajmouati, Abdelaziz (Sidi Mohamed Ben Abdellah University Faculty of Sciences Dhar Al Mahraz Laboratory of Mathematical Sciences and Applications (LASMA))
  • 투고 : 2021.02.02
  • 심사 : 2021.09.07
  • 발행 : 2022.07.31
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초록

In this paper, for bounded linear operators A, B, C satisfying [AB, B] = [BC, B] = [AB, BC] = 0 we study the Drazin invertibility of the sum of products formed by the three operators A, B and C. In particular, we give an explicit representation of the anti-commutator {A, B} = AB + BA. Also we give some conditions for which the sum A + C is Drazin invertible.

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과제정보

The authors of this paper are greatly indebted to the anonymous referee for the many helpful suggestions and comments.

참고문헌

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