Remarks on the range and the kernel of generalized derivation

Let $L(H)$ denote the algebra of operators on a complex infinite dimensional Hilbert space $H$ and let $\;\mathcal{J}$ denote a two-sided ideal in $L(H)$. Given $A,B\in L(H)$, define the generalized derivation $\delta_{A,B}$ as an operator on $L(H)$ by \centerline{$\delta_{A,B}(X)=AX-XB.$} \sm...

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Bibliographic Details

Published in:	Математичні Студії
Main Authors:	Y. Bouhafsi, M. Ech-chad, M. Missouri, A. Zouaki
Format:	Article
Language:	German
Published:	Ivan Franko National University of Lviv 2022-06-01
Subjects:	derivation; orthogonality; fuglede-putnam property; subnormal operator; compact operator; dominant operator
Online Access:	http://matstud.org.ua/ojs/index.php/matstud/article/view/238