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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm227-2-1, author = {Amer Abu-Omar and Fuad Kittaneh}, title = {Notes on some spectral radius and numerical radius inequalities}, journal = {Studia Mathematica}, volume = {231}, year = {2015}, pages = {97-109}, zbl = {06481146}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm227-2-1} }
Amer Abu-Omar; Fuad Kittaneh. Notes on some spectral radius and numerical radius inequalities. Studia Mathematica, Tome 231 (2015) pp. 97-109. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm227-2-1/