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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm182-2-3, author = {Mohammad El-Haddad and Fuad Kittaneh}, title = {Numerical radius inequalities for Hilbert space operators. II}, journal = {Studia Mathematica}, volume = {178}, year = {2007}, pages = {133-140}, zbl = {1130.47003}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm182-2-3} }
Mohammad El-Haddad; Fuad Kittaneh. Numerical radius inequalities for Hilbert space operators. II. Studia Mathematica, Tome 178 (2007) pp. 133-140. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm182-2-3/