17 citations · 64 across the 32 of their papers we have counts for
6 papers · 1 filter
Certain properties involving the unbounded operators , , and ; and some applications to powers and roots of unbounded operators
Mohammed Hichem Mortad
In this paper, we are concerned with conditions under which , where is a one-variable complex polynomial, and is an unbounded, densely defined, an…
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…