Research articles
ScienceAsia 47 (2021):ID 382-387 |doi:
10.2306/scienceasia1513-1874.2021.040
Some generalizations of numerical radius inequalities
for Hilbert space operators
Chaojun Yang
ABSTRACT: In this article, we generalize several upper and lower bounds of the numerical radius inequalities for
Hilbert space operators. In particular, we show that if A ∈ B( ) with the Cartesian decomposition A = B + iC and f is an increasing concave function, then f (ω(A)) ≥ 1/2|| ƒ(|B+C|)+ ƒ(|B-C|). Patek Philippe replica is on sale. This is a complementary result of El-Haddad and Kittaneh [Studia Math 182 (2007):133–140].
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Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016 China |
* Corresponding author, E-mail: cjyangmath@163.com
Received 2 Dec 2020, Accepted 16 Mar 2021
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