[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.11568/kjm.2019.27.2.515

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)

Publication Information

Korean Journal of Mathematics / v.27, no.2, 2019 , pp. 515-523 More about this Journal

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.

Keywords

Sylvester equation; subnormal operators; similar operators; Fuglede-Putnam property;

Citations & Related Records

Times Cited By KSCI : 1 (Citation Analysis)

Reference
Cited By KSCI

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