Certain properties involving the unbounded operators p (T), TT⁎, and T⁎ T; and some applications to powers and nth roots of unbounded operators
MH Mortad - Journal of Mathematical Analysis and Applications, 2023 - Elsevier
In this paper, we are concerned with conditions under which [p (T)]⁎= p‾(T⁎), where p (z) is
a one-variable complex polynomial, and T is an unbounded, densely defined, and linear …
a one-variable complex polynomial, and T is an unbounded, densely defined, and linear …
Generalizations of Weiss' version of the Fuglede–Putnam theorem for unbounded operators
MH Mortad - Expositiones Mathematicae, 2024 - Elsevier
The present paper discusses Weiss' version of the Fuglede–Putnam theorem. We establish
three generalizations of this version, each of which involves unbounded normal operators …
three generalizations of this version, each of which involves unbounded normal operators …
[PDF][PDF] On the commutativity of unbounded unclosed symmetric operators
MS MOKTHAR-KHARROUBI… - Preprint posted on … - researchgate.net
ON THE COMMUTATIVITY OF UNBOUNDED UNCLOSED SYMMETRIC OPERATORS 1.
Introduction First, we assume readers are well acquainted with Page 1 ON THE …
Introduction First, we assume readers are well acquainted with Page 1 ON THE …
Some Applications
MH Mortad - The Fuglede-Putnam Theory, 2022 - Springer
In the beginning, why “some” applications only? The answer is pretty simple. The Fuglede
theorem's applications are abundant and cannot all be included in this survey. Recall that …
theorem's applications are abundant and cannot all be included in this survey. Recall that …