Numerical radius inequalities for 2 × 2 operator matrices

Omar Hirzallah; Fuad Kittaneh; Khalid Shebrawi

Studia Mathematica (2012)

  • Volume: 210, Issue: 2, page 99-115
  • ISSN: 0039-3223

Abstract

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

How to cite

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Omar Hirzallah, Fuad Kittaneh, and Khalid Shebrawi. "Numerical radius inequalities for 2 × 2 operator matrices." Studia Mathematica 210.2 (2012): 99-115. <http://eudml.org/doc/285886>.

@article{OmarHirzallah2012,
abstract = {We derive several numerical radius inequalities for 2 × 2 operator matrices. Numerical radius inequalities for sums and products of operators are given. Applications of our inequalities are also provided.},
author = {Omar Hirzallah, Fuad Kittaneh, Khalid Shebrawi},
journal = {Studia Mathematica},
keywords = {numerical range; numerical radius; operator norm},
language = {eng},
number = {2},
pages = {99-115},
title = {Numerical radius inequalities for 2 × 2 operator matrices},
url = {http://eudml.org/doc/285886},
volume = {210},
year = {2012},
}

TY - JOUR
AU - Omar Hirzallah
AU - Fuad Kittaneh
AU - Khalid Shebrawi
TI - Numerical radius inequalities for 2 × 2 operator matrices
JO - Studia Mathematica
PY - 2012
VL - 210
IS - 2
SP - 99
EP - 115
AB - We derive several numerical radius inequalities for 2 × 2 operator matrices. Numerical radius inequalities for sums and products of operators are given. Applications of our inequalities are also provided.
LA - eng
KW - numerical range; numerical radius; operator norm
UR - http://eudml.org/doc/285886
ER -

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