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

Demonstratio mathematica

article

Mohammed Hichem Mortad¹ 

[1] Département de Mathématiques, Université d’Oran

关键词: unbounded operators;    closed;    self-adjoint and normal operators;    product of operators;    commutativity;    relative boundedness;   

DOI  :  10.1515/dema-2013-0353

学科分类：外科医学

来源: De Gruyter

【 摘 要 】

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.

【 授权许可】

CC BY