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{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},
pages = {69--75},
year = {2013},
volume = {216},
number = {1},
doi = {10.4064/sm216-1-5},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm216-1-5/}
}
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AU - Amer Abu Omar
AU - Fuad Kittaneh
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Aluthge transform
JO - Studia Mathematica
PY - 2013
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EP - 75
VL - 216
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UR - http://geodesic.mathdoc.fr/articles/10.4064/sm216-1-5/
DO - 10.4064/sm216-1-5
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Aluthge transform
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Amer Abu Omar; Fuad Kittaneh. A numerical radius inequality involving the generalized
Aluthge transform. Studia Mathematica, Tome 216 (2013) no. 1, pp. 69-75. doi: 10.4064/sm216-1-5