A spectral radius inequality is given. An application of this inequality to prove a numerical radius inequality that involves the generalized Aluthge transform is also provided. Our results improve earlier results by Kittaneh and Yamazaki.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm216-1-5, author = {Amer Abu Omar and Fuad Kittaneh}, title = {A numerical radius inequality involving the generalized Aluthge transform}, journal = {Studia Mathematica}, volume = {215}, year = {2013}, pages = {69-75}, zbl = {1279.47015}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm216-1-5} }
Amer Abu Omar; Fuad Kittaneh. A numerical radius inequality involving the generalized Aluthge transform. Studia Mathematica, Tome 215 (2013) pp. 69-75. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm216-1-5/