Weyl-type theorems for unbounded posinormal operators
- Authors: Gupta A.1, Mamtani K.2
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Affiliations:
- Delhi College of Arts and Commerce
- University of Delhi
- Issue: Vol 52, No 4 (2017)
- Pages: 191-197
- Section: Functional Analysis
- URL: https://journals.rcsi.science/1068-3623/article/view/228064
- DOI: https://doi.org/10.3103/S1068362317040057
- ID: 228064
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Abstract
For bounded linear operators, the study ofWeyl-type theorems and properties has been of significant interest for several non-normal classes of operators. In this paper, we extend this study to a class of unbounded posinormal operators. We define and study the spectral properties of unbounded posinormal and totally posinormal operators defined on an infinite dimensional complex Hilbert space H. For this class, under certain conditions several Weyl-type theorems and related properties are obtained.
About the authors
A. Gupta
Delhi College of Arts and Commerce
Author for correspondence.
Email: dishna2@yahoo.in
India, New Delhi
K. Mamtani
University of Delhi
Email: dishna2@yahoo.in
India, New Delhi