| Journal: | Boletim da Sociedade Paranaense de Matematica |
| Database: | PERIÓDICA |
| System number: | 000365967 |
| ISSN: | 0037-8712 |
| Authors: | Crawford Rhaly Jr., Henry |
| Year: | 2013 |
| Volumen: | 31 |
| Number: | 2 |
| Pages: | 231-234 |
| Country: | Brasil |
| Language: | Inglés |
| Document type: | Artículo |
| Approach: | Experimental, analítico |
| English abstract | A proof is given that if the lower triangular infinite matrix T acts boundedly on ℓ2 and U is the unilateral shift, the sequence (U )nTUn inherits from T the following properties: posinormality, dominance, M-hyponormality, hyponor- mality, 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 |
| Disciplines: | Matemáticas |
| Keyword: | Matemáticas puras, Operador posinormal, Matriz triangular, Operador dominante, Operador compacto |
| Keyword: | Mathematics, Pure mathematics, Posinormal operator, Triangular matrix, Dominant operator, Compact operator |
| Full text: | Texto completo (Ver PDF) |
