Heredity for triangular operators
| Autor: | Henry Crawford Rhaly Jr. |
|---|---|
| Jazyk: | English<br />Portuguese |
| Rok vydání: | 2013 |
| Předmět: | |
| Zdroj: | Boletim da Sociedade Paranaense de Matemática, Vol 31, Iss 2, Pp 231-234 (2013) |
| Druh dokumentu: | article |
| ISSN: | 0037-8712 2175-1188 |
| DOI: | 10.5269/bspm.v31i2.17928 |
| Popis: | 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. Also, it is demonstrated that the upper triangular matrix $T^*$ is dominant if and only if $T$ is a diagonal matrix. |
| Databáze: | Directory of Open Access Journals |
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