On the Cauchy dual of closed range operators

Ezzahraoui H. and Mbekhta Mostafa and Zerouali E. H.: On the Cauchy dual of closed range operators. In: Acta scientiarum mathematicarum, (85) 1-2. pp. 231-248. (2019)

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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.

Item Type: Article
Journal or Publication Title: Acta scientiarum mathematicarum
Date: 2019
Volume: 85
Number: 1-2
ISSN: 2064-8316
Page Range: pp. 231-248
Official URL: http://www.acta.hu
Related URLs: http://acta.bibl.u-szeged.hu/62105/
DOI: 10.14232/actasm-018-020-2
Uncontrolled Keywords: Matematika, Operátorok
Additional Information: Bibliogr.: p. 247-248. ; összefoglalás angol nyelven
Date Deposited: 2019. Sep. 25. 10:45
Last Modified: 2021. Mar. 25. 15:30
URI: http://acta.bibl.u-szeged.hu/id/eprint/62144

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