On the Cauchy dual of closed range operators
We extend in this paper the notion of Cauchy dual to operators with closed range. We then give several useful properties of Cauchy duals extending the case of left-invertible operators. As a consequence, we show that a weak concavity concept of an operator induces a corresponding weak hyponormality...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
2019
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| Sorozat: | Acta scientiarum mathematicarum
85 No. 1-2 |
| Kulcsszavak: | Matematika, Operátorok |
| doi: | 10.14232/actasm-018-020-2 |
| Online Access: | http://acta.bibl.u-szeged.hu/62144 |
| Tartalmi kivonat: | We extend in this paper the notion of Cauchy dual to operators with closed range. We then give several useful properties of Cauchy duals extending the case of left-invertible operators. As a consequence, we show that a weak concavity concept of an operator induces a corresponding weak hyponormality of its Cauchy dual. |
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| Terjedelem/Fizikai jellemzők: | 231-248 |
| ISSN: | 2064-8316 |