The Properties (Raw) and (gRaw) as a Generalization of The Weyl's Theorem
DOI:
https://doi.org/10.29304/jqcsm.2025.17.42589Keywords:
The Property (Raw), relatively regularAbstract
In this paper, we introduce a novel generalization of Weyl's theorem of bounded linear operators, which dented by ( ) and ( ). Moreover, we demonstrate that this generalization encompasses and extends the properties ( ) and ( ) by the researchers in [1]. Our approach utilizes key characteristics of the relatively regular alongside the properties of constrained operators to explore and verify the proposed generalization. Several illustrative examples are provided to support the theoretical results and to highlight the applicability of the presented theorems.
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M. Berkani and H. Zariouh, “New extended Weyl type theorems,” Matematički vesnik, vol. 62, no. 240, pp. 145–154, 2010.
S. A. Mehd, S. D. Mohsen, and M. J. Fari, “Properties (RB) and (gRB) for Bounded Linear Operators,” in Journal of Physics: Conference Series, IOP Publishing, 2022, p. 12053.
M. Berkani and M. Sarih, “On semi B-Fredholm operators,” Glasgow mathematical journal, vol. 43, no. 3, pp. 457–465, 2001.
A. Hamdan and M. Berkani, “On Left and Right Semi-B-Fredholm Operators,” arXiv preprint arXiv:2402.09261, 2024.
V. Kordula, V. Müller, and V. Rakocevic, “On the semi-Browder spectrum,” Studia Math, vol. 123, no. 1, pp. 1–13, 1997.
P. Aiena, M. Biondi, and C. Carpintero, “On drazin invertibility,” Proceedings of the American Mathematical Society, vol. 136, no. 8, pp. 2839–2848, 2008.
F. Faure and M. Tsujii, “Micro-local analysis of contact Anosov flows and band structure of the Ruelle spectrum,” Communications of the American Mathematical Society, vol. 4, no. 15, pp. 641–745, 2024.
M. Berkani and H. Zariouh, “Generalized a-Weyl’s theorem and perturbations,” Functional Analysis, Approximation and Computation, vol. 2, pp. 7–18, 2010.
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Copyright (c) 2025 Mohammed J Fari, Fatimah S. Hussein
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
