Exponentials of Normal Operators and Commutativity of Operators: A New Approach
Functional Analysis
2012-05-11 v1 Operator Algebras
Abstract
We present a new approach to the question of when the commutativity of operator exponentials implies that of the operators. This is proved in the setting of bounded normal operators on a complex Hilbert space. The proofs are based on some similarities results by Berberian and Embry as well as the celebrated Fuglede theorem.
Keywords
Cite
@article{arxiv.1205.2202,
title = {Exponentials of Normal Operators and Commutativity of Operators: A New Approach},
author = {Mohammed Hichem Mortad},
journal= {arXiv preprint arXiv:1205.2202},
year = {2012}
}
Comments
05 pages