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- Title
Characterization of closed n-paranormal and n∗-paranormal operators.
- Authors
Mecheri, Salah; Bakir, Aissa Nasli
- Abstract
We give several basic and spectral properties of classes of closed n-paranormal and closed n ∗ -paranormal operators on dense domains in complex separable Hilbert spaces. We prove that for both of these classes of operators, the null space of (T - μ I) and the range of R (E μ) are identical, where E μ is the Riesz projection with respect to an isolated point μ of the spectrum. We show that they satisfy Weyl's theorem. Certain properties related to the reduced minimum modulus are also established.
- Publication
Acta Scientiarum Mathematicarum, 2024, Vol 90, Issue 1/2, p219
- ISSN
0001-6969
- Publication type
Article
- DOI
10.1007/s44146-024-00109-x