Numerical radius inequalities for Hilbert space operators. II

Mohammad El-Haddad; Fuad Kittaneh

Studia Mathematica (2007)

  • Volume: 182, Issue: 2, page 133-140
  • ISSN: 0039-3223

Abstract

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We give several sharp inequalities involving powers of the numerical radii and the usual operator norms of Hilbert space operators. These inequalities, which are based on some classical convexity inequalities for nonnegative real numbers and some operator inequalities, generalize earlier numerical radius inequalities.

How to cite

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Mohammad El-Haddad, and Fuad Kittaneh. "Numerical radius inequalities for Hilbert space operators. II." Studia Mathematica 182.2 (2007): 133-140. <http://eudml.org/doc/284646>.

@article{MohammadEl2007,
abstract = {We give several sharp inequalities involving powers of the numerical radii and the usual operator norms of Hilbert space operators. These inequalities, which are based on some classical convexity inequalities for nonnegative real numbers and some operator inequalities, generalize earlier numerical radius inequalities.},
author = {Mohammad El-Haddad, Fuad Kittaneh},
journal = {Studia Mathematica},
keywords = {numerical radius; operator norm; Cartesian decomposition; Jensen's inequality; mixed Schwarz inequality; triangle inequality},
language = {eng},
number = {2},
pages = {133-140},
title = {Numerical radius inequalities for Hilbert space operators. II},
url = {http://eudml.org/doc/284646},
volume = {182},
year = {2007},
}

TY - JOUR
AU - Mohammad El-Haddad
AU - Fuad Kittaneh
TI - Numerical radius inequalities for Hilbert space operators. II
JO - Studia Mathematica
PY - 2007
VL - 182
IS - 2
SP - 133
EP - 140
AB - We give several sharp inequalities involving powers of the numerical radii and the usual operator norms of Hilbert space operators. These inequalities, which are based on some classical convexity inequalities for nonnegative real numbers and some operator inequalities, generalize earlier numerical radius inequalities.
LA - eng
KW - numerical radius; operator norm; Cartesian decomposition; Jensen's inequality; mixed Schwarz inequality; triangle inequality
UR - http://eudml.org/doc/284646
ER -

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