Unbounded linear operators having self-adjoint powers and some related results
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Date
2024
Journal Title
Journal ISSN
Volume Title
Publisher
Mohamed Boudiaf University of M'sila
Abstract
In this work, we study the powers of closed linear operators. We showed that If a closed operator T is quasinormal and its power Tn is normal with n≥2, then T must be normal. We also presented a generalization of a result related to J.von Neumann’s result. The nth roots of quasinormal operators also have been studied.
Description
Keywords
Bézout’s theorem in arithmetic, closed operators, hyponormal operators, normal operators, powers of operators, quasinormal operators, self-adjoint operators