Heredity for triangular operators

A proof is given that if the lower triangular infinite matrix $T$ acts boundedly on $\ell^2$ and U is the unilateral shift, the sequence $(U^*)^nTU^n$ inherits from $T$ the following properties: posinormality, dominance, $M$-hyponormality, hyponormality, normality, compactness, and noncompactness. ...

Full description

Bibliographic Details
Main Author: Henry Crawford Rhaly Jr.
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2013-12-01
Series:Boletim da Sociedade Paranaense de Matemática
Subjects:
Online Access:http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/17928