Notes on some spectral radius and numerical radius inequalities

Amer Abu-Omar; Fuad Kittaneh

Studia Mathematica (2015)

  • Volume: 227, Issue: 2, page 97-109
  • ISSN: 0039-3223

Abstract

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We prove numerical radius inequalities for products, commutators, anticommutators, and sums of Hilbert space operators. A spectral radius inequality for sums of commuting operators is also given. Our results improve earlier well-known results.

How to cite

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Amer Abu-Omar, and Fuad Kittaneh. "Notes on some spectral radius and numerical radius inequalities." Studia Mathematica 227.2 (2015): 97-109. <http://eudml.org/doc/285867>.

@article{AmerAbu2015,
abstract = {We prove numerical radius inequalities for products, commutators, anticommutators, and sums of Hilbert space operators. A spectral radius inequality for sums of commuting operators is also given. Our results improve earlier well-known results.},
author = {Amer Abu-Omar, Fuad Kittaneh},
journal = {Studia Mathematica},
keywords = {numerical radius; spectral radius; operator norm; normal operator; commutator; inequality},
language = {eng},
number = {2},
pages = {97-109},
title = {Notes on some spectral radius and numerical radius inequalities},
url = {http://eudml.org/doc/285867},
volume = {227},
year = {2015},
}

TY - JOUR
AU - Amer Abu-Omar
AU - Fuad Kittaneh
TI - Notes on some spectral radius and numerical radius inequalities
JO - Studia Mathematica
PY - 2015
VL - 227
IS - 2
SP - 97
EP - 109
AB - We prove numerical radius inequalities for products, commutators, anticommutators, and sums of Hilbert space operators. A spectral radius inequality for sums of commuting operators is also given. Our results improve earlier well-known results.
LA - eng
KW - numerical radius; spectral radius; operator norm; normal operator; commutator; inequality
UR - http://eudml.org/doc/285867
ER -

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