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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.

On self-adjointness problem for Jacobi operator

Poskrobko A.

Fasciculi Mathematici

2005

Nr 36

83-90

In this article Jacob! operator L is considered. Known tests of self-adjointness of this operator are quoted, and new conditions of its self-adjointness are formulated.