3 citations · 11 across the 14 of their papers we have counts for
24 papers · 1 filter
On the reduction of powers of self-adjoint operators
Salima Kebli, Mohammed Hichem Mortad
Let be such that is self-adjoint for some with . The paper's primary aim is to establish the conditions that lead to the self-adjointnes…
Some properties of the adjoint of the unbounded operators and
Mohammed Hichem Mortad
In this note, we mainly investigate the validity of the identities and , where is a densely defined closable (or symmetric) operator.
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.
On Generalized Powers of Operators
Ahmed Bachir, Mohammed Hichem Mortad, Nawal Ali Sayyaf
In this note, we introduce generalized powers of linear operators. More precisely, operators are not raised to numbers but to other operators. We discuss several properties as rega…
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…