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math.FA2019
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…
math.FA2019★ 1 cited
When Nilpotence Implies Normality of Bounded Linear Operators
Nassima Frid, Mohammed Hichem Mortad
In this paper, we give conditions forcing nilpotent matrices (and bounded linear operators in general) to be null or equivalently to be normal. Therefore, a non-zero operator havin…
math.FA2019
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…