M. BOUTAF Fatima zohra

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Department

Mathematics Department

Research Interests

Mathematics

Contact Info

University of M'Sila, Algeria

Email : fatima.boutaf@univ-msila.dz

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Recent Publications

2023-04-24

Some results of essential spectra of sum of two bounded linear operators in non-Archimedean Banach space

In this paper, we extend some aspects of the essential spectra theory of linear operators acting in non-Archimedean (or p-adic) Banach spaces. In particular, we establish sufficient conditions for the relations between the essential spectra of the sum of two bounded linear operators and the union of their essential spectra. Moreover, we give essential prerequisites by studying the duality between p-adic upper and p-adic lower semi-Fredholm operators. We close this paper by giving some properties of the essential spectra.
Citation

M. BOUTAF Fatima zohra, (2023-04-24), "Some results of essential spectra of sum of two bounded linear operators in non-Archimedean Banach space", [national] Boletín de la Sociedad Matemática Mexicana , Springer

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2022-08-21

New results on perturbations of p-adic linear operators

In this research paper, we develop some aspects of the theory of Fredholm of linear operators acting in p-adic (or non-Archimedean) Banach spaces. In this regard, we establish sufficient conditions for p-adic Fredholmeness of the algebraic sum of unbounded linear operators. Next, we study the perturbation of p-adic upper semi-Fredholm operators under strictly singular operators. Moreover, we give some results concerning quasi-compact and p-adic lower semi-Fredholm operators.
Citation

M. BOUTAF Fatima zohra, (2022-08-21), "New results on perturbations of p-adic linear operators", [national] Georgian Mathematical Journal , De Gruyter

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2022-07-01

Extended eigenvalues of 2 × 2 block operator matrices

In this work, the notion of extended eigenvalues of a 2 × 2 lower triangular operator matrix has been researched. More precisely, the relations between the extended spectrum of a 2 × 2 lower triangular operator matrix with the spectrum, the point spectrum, and the extended spectrum of its diagonal entries have been investigated. The obtained results have been supplemented by examples. In addition, some properties of the extended spectrum of 2 × 2 block operator matrices are displayed.
Citation

M. BOUTAF Fatima zohra, (2022-07-01), "Extended eigenvalues of 2 × 2 block operator matrices", [national] Filomat , Faculty of Sciences and Mathematics, University of Niš, Serbia.

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2021-06-01

Extended eigenvalues of a closed linear operator

A complex number ? is an extended eigenvalue of an operator A if there is a nonzero operator B such that = ?BA. In this case, B is said to be an eigenoperator. This research paper is devoted to the investigation of some results of extended eigenvalues for a closed linear operator on a complex Banach space. The obtained results are explored in terms two cases bounded, and closed eigenoperators. In addition, the notion of extended eigenvalues for a 2 ? 2 upper triangular operator matrix is introduced and some of its properties are displayed.
Citation

M. BOUTAF Fatima zohra, (2021-06-01), "Extended eigenvalues of a closed linear operator", [national] Filomat , Faculty of Sciences and Mathematics, University of Niš, Serbia.

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