17 citations · 64 across the 32 of their papers we have counts for
6 papers · 1 filter
On the triviality of domains of powers and adjoints of closed operators
Mohammed Hichem Mortad
The paper is devoted to counterexamples involving the triviality of domains of products and/or adjoints of densely defined operators.
Counterexamples Related to Commutators of Unbounded Operators
Mohammed Hichem Mortad
The present paper is exclusively devoted to counterexamples about commutators and self commutators of unbounded operators on a Hilbert space. As a bonus, we provide a simpler count…
Chernoff Like Counterexamples Related to Unbounded Operators
Souheyb Dehimi, Mohammed Hichem Mortad
In this paper, we give an example of a closed unbounded operator whose square's domain and adjoint's square domain are equal and trivial. Then, we come up with an essentially self-…
On The Absolute Value of Unbounded Operators
Imene Boucif, Souheyb Dehimi, Mohammed Hichem Mortad
The primary purpose of the present paper is to investigate when relations of the types , , and $|\overline{\text{Re} A}|…
On the Invertibility of the Sum of Operators
Mohammed Hichem Mortad
The primary purpose of this paper is to investigate the question of invertibility of the sum of operators. The setting is bounded and unbounded linear operators. Some interesting e…
On the Existence of Normal Square and Nth Roots of Operators
Mohammed Hichem Mortad
The primary purpose of this paper is to show the existence of normal square and nth roots of some classes of bounded operators on Hilbert spaces. Two interesting simple results hol…