3 citations · 5 across the 6 of their papers we have counts for
12 papers
On the commutativity of closed symmetric operators
Souheyb Dehimi, Mohammed Hichem Mortad, Ahmed Bachir
In this article, we give conditions guaranteeing the commutativity of a bounded self-adjoint operator with an unbounded closed symmetric operator.
Unbounded generalizations of the Fuglede-Putnam theorem
Souheyb Dehimi, Mohammed Hichem Mortad, Ahmed Bachir
In this paper, we prove and disprove several generalizations of unbounded versions of the Fuglede-Putnam theorem.
Unbounded generalizations of the Fuglede-Putnam theorem and applications to the commutativity of self-adjoint operators
Souheyb Dehimi, Mohammed Hichem Mortad, Ahmed Bachir
In this article, we prove and disprove several generalizations of unbounded versions of the Fuglede-Putnam theorem. As applications, we give conditions guaranteeing the commutativi…
When Nilpotence Implies the Zeroness of Linear Operators
Nassima Frid, Mohammed Hichem Mortad, Souheyb Dehimi
In this paper, we give conditions forcing nilpotent operators (everywhere bounded or closed) to be null. More precisely, it is mainly shown any closed or everywhere defined bounded…
Unbounded operators having self-adjoint or normal powers and some related results
Souheyb Dehimi, Mohammed Hichem Mortad
We show that a densely defined closable operator such that the resolvent set of is not empty is necessarily closed. This result is then extended to the case of a polynomi…
On the Operator Equations
Souheyb Dehimi, Mohammed Hichem Mortad, Zsigmond Tarcsay
Let and let be a closed linear operator (everywhere bounded or unbounded). In this paper, we study (among others) equations of the type where $n\geq…
The Fuglede Theorem and Some Intertwining Relations
Ikram Fatima Zohra Bensaid, Souheyb Dehimi, Bent Fuglede +1
In this paper, we show a new and classic version of the celebrated Fuglede Theorem in an unbounded setting. A related counterexample is equally presented. In the second strand of t…
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}|…
Generalizations of Reid Inequality
Souheyb Dehimi, Mohammed Hichem Mortad
In this paper, we improve the famous Reid Inequality related to linear operators. Some monotony results for positive operators are also established with a different approach from w…
Right (Or Left) Invertibility of Bounded and Unbounded Operators and Applications to the Spectrum of Products
Mohammed Hichem Mortad, Souheyb Dehimi
This paper is mainly concerned with proving for two linear and non necessarily bounded operators and . The main tool is left and right invertibility of bounded…
Bounded and Unbounded Operators Similar to Their Adjoints
Souheyb Dehimi, Mohammed Hichem Mortad
In this paper, we establish results about operators similar to their adjoints. This is carried out in the setting of bounded and also unbounded operators on a Hilbert space. Among…