Abstract
In this paper, we provide some results in concern with the so called g-Riesz operators acting on a non-reflexive Banach space X having some properties. Therefore, we investigate some perturbation results. Furthermore, we give a characterization of the generalized S-essential spectrum of the sum of two bounded linear operators, where S is a given bounded linear operator on X.
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Communicated by Roman Drnovsek.
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Azzouz, A., Beghdadi, M. & Krichen, B. g-Riesz operators and their spectral properties. Adv. Oper. Theory 7, 18 (2022). https://doi.org/10.1007/s43036-021-00179-6
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DOI: https://doi.org/10.1007/s43036-021-00179-6
Keywords
- Generalized Fredholm operator
- Generalized Fredholm perturbation
- g-Riesz operator
- Generalized essential spectrum