4 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.
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…