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A note on partial-A-isometries and some applications
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Mohamed Amine Aouichaoui --- Institute of Preparatory Studies in Engineering of Monastir Tunisia, University of Monastir, TunisiaIn this paper, the concepts of partial isometry and A-isometry are generalized. The inspiration for our investigation comes from [4, 10, 20, 27, 28, 29]. -
On the reduction of powers of self-adjoint operators
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Salima Kebli --- University of Oran 1, Algeria Mohammed Hichem Mortad --- University of Oran 1, AlgeriaLet T ∈ B(H) be such that Tn is self-adjoint for some with n ≥ 3. The paper’s primary aim is to establish the conditions that lead to the self-adjointness of T. We pay particular attention to the case where... -
New properties of some classes of Saphar type operators
Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: Ayoub Ghorbel --- University of Sfax, Tunisia Snežana Č. Živković-Zlatanović --- University of Niš, SerbiaThis paper explores additional properties of some classes of Saphar type operators, namely left Drazin invertible, essentially left Drazin invertible, right Drazin invertible, and essentially right Drazin invertible operators on Banach spaces, building upon the groundwork laid in [8] and...
