## Hirzallah, Omar

Compute Distance To:
 Author ID: hirzallah.omar Published as: Hirzallah, Omar
 Documents Indexed: 33 Publications since 2000 Reviewing Activity: 78 Reviews Co-Authors: 14 Co-Authors with 29 Joint Publications 502 Co-Co-Authors
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### Co-Authors

 4 single-authored 26 Kittaneh, Fuad 4 Alrimawi, Fadi 4 Gumus, Ibrahim Halil 3 Shebrawi, Khalid 2 Abu-As’ad, Ata 2 Krnić, Mario 2 Lovričević, Neda 2 Pečarić, Josip 1 Al-Natoor, Ahmad 1 Benmakhlouf, Ahlem 1 Bourahli, Amel 1 Bourin, Jean-Christophe 1 Moslehian, Mohammad Sal 1 Taşkara, Necati
all top 5

### Serials

 8 Linear Algebra and its Applications 5 Linear and Multilinear Algebra 3 Journal of Mathematical Analysis and Applications 3 Mathematical Inequalities & Applications 2 Integral Equations and Operator Theory 2 Numerical Functional Analysis and Optimization 2 ELA. The Electronic Journal of Linear Algebra 2 Banach Journal of Mathematical Analysis 1 Studia Mathematica 1 Glasgow Mathematical Journal 1 Mathematica Scandinavica 1 Pacific Journal of Mathematics 1 Positivity 1 Annals of Functional Analysis

### Fields

 27 Operator theory (47-XX) 16 Linear and multilinear algebra; matrix theory (15-XX) 5 Functional analysis (46-XX) 3 Real functions (26-XX)

### Citations contained in zbMATH Open

28 Publications have been cited 269 times in 209 Documents Cited by Year
Matrix Young inequalities for the Hilbert-Schmidt norm. Zbl 0957.15018
2000
Numerical radius inequalities for certain $$2 \times 2$$ operator matrices. Zbl 1238.47004
Hirzallah, Omar; Kittaneh, Fuad; Shebrawi, Khalid
2011
Non-commutative Clarkson inequalities for unitarily invariant norms. Zbl 1054.47011
2002
Non-commutative Clarkson inequalities for $$n$$-tuples of operators. Zbl 1155.47013
2008
Norm inequalities involving accretive-dissipative $$2\times 2$$ block matrices. Zbl 1398.15020
Gumus, Ibrahim Halil; Hirzallah, Omar; Kittaneh, Fuad
2017
Numerical radius inequalities for commutators of Hilbert space operators. Zbl 1227.47003
Hirzallah, Omar; Kittaneh, Fuad; Shebrawi, Khalid
2011
Inequalities for sums and direct sums of Hilbert space operators. Zbl 1116.47012
2007
Non-commutative operator Bohr inequality. Zbl 1028.47009
Hirzallah, Omar
2003
Norm inequalities for weighted power means of operators. Zbl 1017.47003
2002
Schatten $$p$$-norm inequalities related to a characterization of inner product spaces. Zbl 1201.47013
2010
Numerical radius inequalities for $$2\times 2$$ operator matrices. Zbl 1267.47008
Hirzallah, Omar; Kittaneh, Fuad; Shebrawi, Khalid
2012
Inequalities for sums and products of operators. Zbl 1081.47009
Hirzallah, Omar
2005
Numerical radius inequalities for several operators. Zbl 1290.47006
2014
Singular values, norms, and commutators. Zbl 1188.47018
2010
Refinements and reverses of means inequalities for Hilbert space operators. Zbl 1276.47021
Kittaneh, Fuad; Krnić, Mario; Lovričević, Neda; Pečarić, Josip; Hirzallah, Omar
2013
Interpolating inequalities for functions of positive semidefinite matrices. Zbl 1397.15017
2018
Eigenvalue inequalities for differences of means of Hilbert space operators. Zbl 1248.47019
Hirzallah, Omar; Kittaneh, Fuad; Krnić, Mario; Lovričević, Neda; Pečarić, Josip
2012
Estimates for the real and imaginary parts of the eigenvalues of matrices and applications. Zbl 1361.15021
Gumus, Ibrahim Halil; Hirzallah, Omar; Kittaneh, Fuad
2016
Commutator inequalities for Hilbert space operators. Zbl 1172.47025
Hirzallah, Omar
2009
Eigenvalue localization for complex matrices. Zbl 1326.15015
Gümüş, Ibrahim Halil; Hirzallah, Omar; Kittaneh, Fuad
2014
Norm inequalities related to Clarkson inequalities. Zbl 1390.15064
2018
Singular values of convex functions of operators and the arithmetic-geometric mean inequality. Zbl 1327.47014
Hirzallah, Omar
2016
Singular value inequalities for the arithmetic, geometric and Heinz means of matrices. Zbl 1242.15015
Gumus, Ibrahim Halil; Hirzallah, Omar; Taskara, Necati
2011
Norm inequalities involving convex and concave functions of operators. Zbl 07089815
2019
Some inequalities for powers of positive definite matrices. Zbl 1362.15016
2017
Jensen matrix inequalities and direct sums. Zbl 1205.15035
Bourin, Jean-Christophe; Hirzallah, Omar; Kittaneh, Fuad
2010
Inequalities for contraction matrices. Zbl 1411.15010
2019
Unitarily invariant norm inequalities for functions of accretive-dissipative $$2\times 2$$ block matrices. Zbl 1465.15026
Bourahli, Amel; Hirzallah, Omar; Kittaneh, Fuad
2021
Unitarily invariant norm inequalities for functions of accretive-dissipative $$2\times 2$$ block matrices. Zbl 1465.15026
Bourahli, Amel; Hirzallah, Omar; Kittaneh, Fuad
2021
Norm inequalities involving convex and concave functions of operators. Zbl 07089815
2019
Inequalities for contraction matrices. Zbl 1411.15010
2019
Interpolating inequalities for functions of positive semidefinite matrices. Zbl 1397.15017
2018
Norm inequalities related to Clarkson inequalities. Zbl 1390.15064
2018
Norm inequalities involving accretive-dissipative $$2\times 2$$ block matrices. Zbl 1398.15020
Gumus, Ibrahim Halil; Hirzallah, Omar; Kittaneh, Fuad
2017
Some inequalities for powers of positive definite matrices. Zbl 1362.15016
2017
Estimates for the real and imaginary parts of the eigenvalues of matrices and applications. Zbl 1361.15021
Gumus, Ibrahim Halil; Hirzallah, Omar; Kittaneh, Fuad
2016
Singular values of convex functions of operators and the arithmetic-geometric mean inequality. Zbl 1327.47014
Hirzallah, Omar
2016
Numerical radius inequalities for several operators. Zbl 1290.47006
2014
Eigenvalue localization for complex matrices. Zbl 1326.15015
Gümüş, Ibrahim Halil; Hirzallah, Omar; Kittaneh, Fuad
2014
Refinements and reverses of means inequalities for Hilbert space operators. Zbl 1276.47021
Kittaneh, Fuad; Krnić, Mario; Lovričević, Neda; Pečarić, Josip; Hirzallah, Omar
2013
Numerical radius inequalities for $$2\times 2$$ operator matrices. Zbl 1267.47008
Hirzallah, Omar; Kittaneh, Fuad; Shebrawi, Khalid
2012
Eigenvalue inequalities for differences of means of Hilbert space operators. Zbl 1248.47019
Hirzallah, Omar; Kittaneh, Fuad; Krnić, Mario; Lovričević, Neda; Pečarić, Josip
2012
Numerical radius inequalities for certain $$2 \times 2$$ operator matrices. Zbl 1238.47004
Hirzallah, Omar; Kittaneh, Fuad; Shebrawi, Khalid
2011
Numerical radius inequalities for commutators of Hilbert space operators. Zbl 1227.47003
Hirzallah, Omar; Kittaneh, Fuad; Shebrawi, Khalid
2011
Singular value inequalities for the arithmetic, geometric and Heinz means of matrices. Zbl 1242.15015
Gumus, Ibrahim Halil; Hirzallah, Omar; Taskara, Necati
2011
Schatten $$p$$-norm inequalities related to a characterization of inner product spaces. Zbl 1201.47013
2010
Singular values, norms, and commutators. Zbl 1188.47018
2010
Jensen matrix inequalities and direct sums. Zbl 1205.15035
Bourin, Jean-Christophe; Hirzallah, Omar; Kittaneh, Fuad
2010
Commutator inequalities for Hilbert space operators. Zbl 1172.47025
Hirzallah, Omar
2009
Non-commutative Clarkson inequalities for $$n$$-tuples of operators. Zbl 1155.47013
2008
Inequalities for sums and direct sums of Hilbert space operators. Zbl 1116.47012
2007
Inequalities for sums and products of operators. Zbl 1081.47009
Hirzallah, Omar
2005
Non-commutative operator Bohr inequality. Zbl 1028.47009
Hirzallah, Omar
2003
Non-commutative Clarkson inequalities for unitarily invariant norms. Zbl 1054.47011
2002
Norm inequalities for weighted power means of operators. Zbl 1017.47003
2002
Matrix Young inequalities for the Hilbert-Schmidt norm. Zbl 0957.15018
2000
all top 5