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. ...
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Format: | Article |
Language: | English |
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Sociedade Brasileira de Matemática
2013-12-01
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Series: | Boletim da Sociedade Paranaense de Matemática |
Subjects: | |
Online Access: | http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/17928 |