Korean J. Math. Vol. 27 No. 2 (2019) pp.515-523
DOI: https://doi.org/10.11568/kjm.2019.27.2.515

Solvability of Sylvester operator equation with bounded subnormal operators in Hilbert spaces

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Published: Jun 30, 2019
Keywords:
Sylvester equation, subnormal operators, similar operators, Fuglede-Ptnam property
Mathematics Subject Classification:
47A62, 47A52, 15A24.

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Hariz Bekkar Lourabi
Department of Mathematicss Faculty of Exact Sciences and Sciences of the Nature and Life University of Biskra, P.O. Box 145, 07000 Biskra, Algeria.
Mansour Abdelouahab
Department of Mathematics, Operators Theory and PDE Foundations and Applications Laboratory University of El-Oued, P.O. Box 789, El-Oued 39000, Algeria.

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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Supporting Agencies

Laboratory of operator theory Algeria.

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