Numerical radius inequalities for $2\times  2$ operator matrices

Omar Hirzallah; Fuad Kittaneh; Khalid Shebrawi

doi:10.4064/sm210-2-1

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Numerical radius inequalities for $2\times 2$ operator matrices

Volume 210 / 2012

Omar Hirzallah, Fuad Kittaneh, Khalid Shebrawi Studia Mathematica 210 (2012), 99-115 MSC: Primary 47A12, 47A30, 47A63; Secondary 15A60, 47B15. DOI: 10.4064/sm210-2-1

Abstract

We derive several numerical radius inequalities for $2\times 2 $ operator matrices. Numerical radius inequalities for sums and products of operators are given. Applications of our inequalities are also provided.

Authors

Omar HirzallahDepartment of Mathematics
Hashemite University
Zarqa, Jordan
e-mail
Fuad KittanehDepartment of Mathematics
University of Jordan
Amman, Jordan
e-mail
Khalid ShebrawiDepartment of Applied Sciences
Al-Balqa' Applied University
Salt, Jordan
e-mail

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