ON OPERATOR EQUATION AXB - CXD = CE VIA SUBNORMALITY IN HILBERT SPACES

ON OPERATOR EQUATION AXB - CXD = CE VIA SUBNORMALITY IN HILBERT SPACES

L. H. Bekkar, A. Mansour, S. Beloul

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Abstract

The purpose of this study is to give the necessary and sucient conditions of the existence of solution for an operator equation of Sylvester type with subnormality of bounded operators in nite dimension complex separable Hilbert space. Our results improve and generalize some results with operators in restricted cases.

Keywords

Sylvester equation, Fuglede-Putnam property, subnormal operator, Kro- necker canonical form.