Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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SOLVABILITY OF SYLVESTER OPERATOR EQUATION WITH BOUNDED SUBNORMAL OPERATORS IN HILBERT SPACES

  • Bekkar, Lourabi Hariz (Department of Mathematicss Faculty of Exact Sciences and Sciences of the Nature and Life University of Biskra) ;
  • Mansour, Abdelouahab (Department of Mathematics, Operators Theory and PDE Foundations and Applications Laboratory University of El-Oued)
  • Received : 2019.02.17
  • Accepted : 2019.06.13
  • Published : 2019.06.30
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Abstract

The aim of this paper is to present some necessary and sufficient conditions for existence of solution of Sylvester operator equation involving bounded subnormal operators in a Hilbert space. Our results improve and generalize some results in the literature involving normal operators.

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References

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