1. The Berkani's property and a note on some recent results.
- Author
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Aznay, Zakariae and Zariouh, Hassan
- Subjects
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MATHEMATICS - Abstract
In this paper, we continue the study of Berkani's property (U W Π) introduced in [Berkani M, Kachad M. New Browder and Weyl type theorems. Bull Korean Math Soc. 2015;52:439–452.], in connection with other Weyl-type theorems. Moreover, we give counterexamples to show that some recent results related to this property, which are announced and proved by P. Aiena and M. Kachad in [Aiena P, Kachad M. Property (U W Π) and perturbations. Ann Funct Anal. 2020;11:29–46.] are false. Furthermore, we specify the mistakes committed in each of them and we give the correct versions. We also give a global note on the paper [Jayanthi N, Vasanthakumar P. A new Browder type property. Inter J Math Anal. 2020;14:1–11]. [ABSTRACT FROM AUTHOR]
- Published
- 2022
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