G-Riesz operators and their spectral properties. (English) Zbl 07486145
Summary: 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 \(X\).
MSC:
| 47A10 | Spectrum, resolvent |
| 47A55 | Perturbation theory of linear operators |
| 47A53 | (Semi-) Fredholm operators; index theories |
Keywords:
generalized Fredholm operator; generalized Fredholm perturbation; g-Riesz operator; generalized essential spectrumReferences:
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