Exponentials of bounded normal operators

Aicha Chaban; Mohammed Hichem Mortad

Colloquium Mathematicae (2013)

  • Volume: 133, Issue: 2, page 237-244
  • ISSN: 0010-1354

Abstract

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The present paper is mainly concerned with equations involving exponentials of bounded normal operators. Conditions implying commutativity of normal operators are given, without using the known 2πi-congruence-free hypothesis. This is a continuation of a recent work by the second author.

How to cite

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Aicha Chaban, and Mohammed Hichem Mortad. "Exponentials of bounded normal operators." Colloquium Mathematicae 133.2 (2013): 237-244. <http://eudml.org/doc/283843>.

@article{AichaChaban2013,
abstract = {The present paper is mainly concerned with equations involving exponentials of bounded normal operators. Conditions implying commutativity of normal operators are given, without using the known 2πi-congruence-free hypothesis. This is a continuation of a recent work by the second author.},
author = {Aicha Chaban, Mohammed Hichem Mortad},
journal = {Colloquium Mathematicae},
keywords = {normal operators; imaginary part of a linear operator; operator exponentials; commutativity; spectrum; Fuglede theorem; Hilbert space},
language = {eng},
number = {2},
pages = {237-244},
title = {Exponentials of bounded normal operators},
url = {http://eudml.org/doc/283843},
volume = {133},
year = {2013},
}

TY - JOUR
AU - Aicha Chaban
AU - Mohammed Hichem Mortad
TI - Exponentials of bounded normal operators
JO - Colloquium Mathematicae
PY - 2013
VL - 133
IS - 2
SP - 237
EP - 244
AB - The present paper is mainly concerned with equations involving exponentials of bounded normal operators. Conditions implying commutativity of normal operators are given, without using the known 2πi-congruence-free hypothesis. This is a continuation of a recent work by the second author.
LA - eng
KW - normal operators; imaginary part of a linear operator; operator exponentials; commutativity; spectrum; Fuglede theorem; Hilbert space
UR - http://eudml.org/doc/283843
ER -

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