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.
Keywords:
several sharp inequalities involving powers numerical radii usual operator norms hilbert space operators these inequalities which based classical convexity inequalities nonnegative real numbers operator inequalities generalize earlier numerical radius inequalities
Affiliations des auteurs :
Mohammad El-Haddad
1
;
Fuad Kittaneh
2
1
Department of Mathematics Science College for Girls Dammam, Saudi Arabia
2
Department of Mathematics University of Jordan Amman, Jordan
Mohammad El-Haddad; Fuad Kittaneh. Numerical radius inequalities for Hilbert space operators. II. Studia Mathematica, Tome 182 (2007) no. 2, pp. 133-140. doi: 10.4064/sm182-2-3
@article{10_4064_sm182_2_3,
author = {Mohammad El-Haddad and Fuad Kittaneh},
title = {Numerical radius inequalities for {Hilbert} space operators. {II}},
journal = {Studia Mathematica},
pages = {133--140},
year = {2007},
volume = {182},
number = {2},
doi = {10.4064/sm182-2-3},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm182-2-3/}
}
TY - JOUR
AU - Mohammad El-Haddad
AU - Fuad Kittaneh
TI - Numerical radius inequalities for Hilbert space operators. II
JO - Studia Mathematica
PY - 2007
SP - 133
EP - 140
VL - 182
IS - 2
UR - http://geodesic.mathdoc.fr/articles/10.4064/sm182-2-3/
DO - 10.4064/sm182-2-3
LA - en
ID - 10_4064_sm182_2_3
ER -
%0 Journal Article
%A Mohammad El-Haddad
%A Fuad Kittaneh
%T Numerical radius inequalities for Hilbert space operators. II
%J Studia Mathematica
%D 2007
%P 133-140
%V 182
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4064/sm182-2-3/
%R 10.4064/sm182-2-3
%G en
%F 10_4064_sm182_2_3
