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Generalizations of Kaplansky's Theorem Involving Unbounded Linear Operators

Benali A., Mortad M. H.

Bulletin of the Polish Academy of Sciences. Mathematics

2014

Vol. 62, no 2

181--186

We are mainly concerned with the result of Kaplansky on the composition of two normal operators in the case in which at least one of the operators is unbounded.

On the closedness, the self-adjointness and the normality of the product of two unbounded operators

Mortad M. H.

Demonstratio Mathematica

2012

Vol. 45, nr 1

161-167

Let A and B be two unbounded densely defined operators on a Hilbert space H . The purpose of this work is to give simple conditions that make the product AB closed, self-adjoint and normal provided the two operators are so.