On intertwining and w-hyponormal operators

Given \(A, B\in B(H)\), the algebra of operators on a Hilbert Space \(H\), define \(\delta_{A,B}: B(H) \to B(H)\) and \(\Delta_{A,B}: B(H) \to B(H)\) by \(\delta_{A,B}(X)=AX-XB\) and \(\Delta_{A,B}(X)=AXB-X\). In this note, our task is a twofold one. We show firstly that if \(A\) and \(B^{*}\) are c...

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Bibliographic Details
Main Author: M. O. Otieno
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2005-01-01
Series:Opuscula Mathematica
Subjects:
Online Access:http://www.opuscula.agh.edu.pl/vol25/2/art/opuscula_math_2518.pdf