Exponentials of normal operators and commutativity of operators: a new approach

Mohammed Hichem Mortad. "Exponentials of normal operators and commutativity of operators: a new approach." Colloquium Mathematicae 125.1 (2011): 1-6. <http://eudml.org/doc/283672>.

@article{MohammedHichemMortad2011,
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 results on similarities by Berberian and Embry as well as the celebrated Fuglede theorem.},
author = {Mohammed Hichem Mortad},
journal = {Colloquium Mathematicae},
keywords = {self-adjoint and normal operators; cramped operators; operator exponentials; commutativity; spectrum; Berberian theorem; Fuglede theorem; Hilbert space},
language = {eng},
number = {1},
pages = {1-6},
title = {Exponentials of normal operators and commutativity of operators: a new approach},
url = {http://eudml.org/doc/283672},
volume = {125},
year = {2011},
}

TY - JOUR
AU - Mohammed Hichem Mortad
TI - Exponentials of normal operators and commutativity of operators: a new approach
JO - Colloquium Mathematicae
PY - 2011
VL - 125
IS - 1
SP - 1
EP - 6
AB - 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 results on similarities by Berberian and Embry as well as the celebrated Fuglede theorem.
LA - eng
KW - self-adjoint and normal operators; cramped operators; operator exponentials; commutativity; spectrum; Berberian theorem; Fuglede theorem; Hilbert space
UR - http://eudml.org/doc/283672
ER -