Edit Profile (opens in new tab) Hirzallah, Omar Compute Distance To: Compute Author ID: hirzallah.omar Published as: Hirzallah, Omar Documents Indexed: 37 Publications since 2000 Reviewing Activity: 78 Reviews Co-Authors: 15 Co-Authors with 33 Joint Publications 533 Co-Co-Authors all top 5 Co-Authors 4 single-authored 29 Kittaneh, Fuad 5 Alrimawi, Fadi 4 Gumus, Ibrahim Halil 3 Abu-As’ad, Ata 3 Shebrawi, Khalid 2 Al-Natoor, Ahmad 2 Krnić, Mario 2 Lovričević, Neda 2 Pečarić, Josip 1 Benmakhlouf, Ahlem 1 Bourahli, Amel 1 Bourin, Jean-Christophe 1 Boutata, Sara 1 Moslehian, Mohammad Sal 1 Taşkara, Necati all top 5 Serials 9 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 2 Annals of Functional Analysis 1 Studia Mathematica 1 Glasgow Mathematical Journal 1 Mathematica Scandinavica 1 Pacific Journal of Mathematics 1 Results in Mathematics 1 Filomat 1 Positivity Fields 31 Operator theory (47-XX) 18 Linear and multilinear algebra; matrix theory (15-XX) 5 Functional analysis (46-XX) 4 Real functions (26-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 32 Publications have been cited 329 times in 247 Documents Cited by ▼ Year ▼ Numerical radius inequalities for certain \(2 \times 2\) operator matrices. Zbl 1238.47004Hirzallah, Omar; Kittaneh, Fuad; Shebrawi, Khalid 59 2011 Matrix Young inequalities for the Hilbert-Schmidt norm. Zbl 0957.15018Hirzallah, Omar; Kittaneh, Fuad 54 2000 Norm inequalities involving accretive-dissipative \(2\times 2\) block matrices. Zbl 1398.15020Gumus, Ibrahim Halil; Hirzallah, Omar; Kittaneh, Fuad 19 2017 Non-commutative Clarkson inequalities for unitarily invariant norms. Zbl 1054.47011Hirzallah, Omar; Kittaneh, Fuad 19 2002 Non-commutative Clarkson inequalities for \(n\)-tuples of operators. Zbl 1155.47013Hirzallah, Omar; Kittaneh, Fuad 19 2008 Numerical radius inequalities for commutators of Hilbert space operators. Zbl 1227.47003Hirzallah, Omar; Kittaneh, Fuad; Shebrawi, Khalid 16 2011 Non-commutative operator Bohr inequality. Zbl 1028.47009Hirzallah, Omar 15 2003 Inequalities for sums and direct sums of Hilbert space operators. Zbl 1116.47012Hirzallah, Omar; Kittaneh, Fuad 15 2007 Numerical radius inequalities for \(2\times 2\) operator matrices. Zbl 1267.47008Hirzallah, Omar; Kittaneh, Fuad; Shebrawi, Khalid 13 2012 Norm inequalities for weighted power means of operators. Zbl 1017.47003Hirzallah, Omar; Kittaneh, Fuad 13 2002 Inequalities for sums and products of operators. Zbl 1081.47009Hirzallah, Omar 11 2005 Schatten \(p\)-norm inequalities related to a characterization of inner product spaces. Zbl 1201.47013Hirzallah, Omar; Kittaneh, Fuad; Moslehian, Mohammad Sal 10 2010 Singular values, norms, and commutators. Zbl 1188.47018Hirzallah, Omar; Kittaneh, Fuad 8 2010 Numerical radius inequalities for several operators. Zbl 1290.47006Hirzallah, Omar; Kittaneh, Fuad 7 2014 Eigenvalue inequalities for differences of means of Hilbert space operators. Zbl 1248.47019Hirzallah, Omar; Kittaneh, Fuad; Krnić, Mario; Lovričević, Neda; Pečarić, Josip 5 2012 Eigenvalue localization for complex matrices. Zbl 1326.15015Gümüş, Ibrahim Halil; Hirzallah, Omar; Kittaneh, Fuad 5 2014 Refinements and reverses of means inequalities for Hilbert space operators. Zbl 1276.47021Kittaneh, Fuad; Krnić, Mario; Lovričević, Neda; Pečarić, Josip; Hirzallah, Omar 5 2013 Commutator inequalities for Hilbert space operators. Zbl 1172.47025Hirzallah, Omar 5 2009 Interpolating inequalities for functions of positive semidefinite matrices. Zbl 1397.15017Al-Natoor, Ahmad; Hirzallah, Omar; Kittaneh, Fuad 4 2018 Norm inequalities related to Clarkson inequalities. Zbl 1390.15064Alrimawi, Fadi; Hirzallah, Omar; Kittaneh, Fuad 4 2018 Estimates for the real and imaginary parts of the eigenvalues of matrices and applications. Zbl 1361.15021Gumus, Ibrahim Halil; Hirzallah, Omar; Kittaneh, Fuad 4 2016 Singular value inequalities for the arithmetic, geometric and Heinz means of matrices. Zbl 1242.15015Gumus, Ibrahim Halil; Hirzallah, Omar; Taskara, Necati 3 2011 Some inequalities for powers of positive definite matrices. Zbl 1362.15016Abu-As’ad, Ata; Hirzallah, Omar 3 2017 Norm inequalities involving convex and concave functions of operators. Zbl 07089815Alrimawi, Fadi; Hirzallah, Omar; Kittaneh, Fuad 2 2019 On the \(p\)-numerical radii of Hilbert space operators. Zbl 1481.47006Benmakhlouf, Ahlem; Hirzallah, Omar; Kittaneh, Fuad 2 2021 Unitarily invariant norm inequalities for functions of accretive-dissipative \(2\times 2\) block matrices. Zbl 1465.15026Bourahli, Amel; Hirzallah, Omar; Kittaneh, Fuad 2 2021 Singular values of convex functions of operators and the arithmetic-geometric mean inequality. Zbl 1327.47014Hirzallah, Omar 2 2016 Inequalities for contraction matrices. Zbl 1411.15010Abu-As’ad, Ata; Hirzallah, Omar 1 2019 Jensen matrix inequalities and direct sums. Zbl 1205.15035Bourin, Jean-Christophe; Hirzallah, Omar; Kittaneh, Fuad 1 2010 Inequalities for certain powers of positive definite matrices. Zbl 1426.15028Alrimawi, Fadi; Hirzallah, Omar; Kittaneh, Fuad 1 2019 On the convexity of functions. Zbl 1502.47021Abu-As’ad, Ata; Hirzallah, Omar 1 2019 Norm inequalities involving the weighted numerical radii of operators. Zbl 07621065Alrimawi, Fadi; Hirzallah, Omar; Kittaneh, Fuad 1 2023 Norm inequalities involving the weighted numerical radii of operators. Zbl 07621065Alrimawi, Fadi; Hirzallah, Omar; Kittaneh, Fuad 1 2023 On the \(p\)-numerical radii of Hilbert space operators. Zbl 1481.47006Benmakhlouf, Ahlem; Hirzallah, Omar; Kittaneh, Fuad 2 2021 Unitarily invariant norm inequalities for functions of accretive-dissipative \(2\times 2\) block matrices. Zbl 1465.15026Bourahli, Amel; Hirzallah, Omar; Kittaneh, Fuad 2 2021 Norm inequalities involving convex and concave functions of operators. Zbl 07089815Alrimawi, Fadi; Hirzallah, Omar; Kittaneh, Fuad 2 2019 Inequalities for contraction matrices. Zbl 1411.15010Abu-As’ad, Ata; Hirzallah, Omar 1 2019 Inequalities for certain powers of positive definite matrices. Zbl 1426.15028Alrimawi, Fadi; Hirzallah, Omar; Kittaneh, Fuad 1 2019 On the convexity of functions. Zbl 1502.47021Abu-As’ad, Ata; Hirzallah, Omar 1 2019 Interpolating inequalities for functions of positive semidefinite matrices. Zbl 1397.15017Al-Natoor, Ahmad; Hirzallah, Omar; Kittaneh, Fuad 4 2018 Norm inequalities related to Clarkson inequalities. Zbl 1390.15064Alrimawi, Fadi; Hirzallah, Omar; Kittaneh, Fuad 4 2018 Norm inequalities involving accretive-dissipative \(2\times 2\) block matrices. Zbl 1398.15020Gumus, Ibrahim Halil; Hirzallah, Omar; Kittaneh, Fuad 19 2017 Some inequalities for powers of positive definite matrices. Zbl 1362.15016Abu-As’ad, Ata; Hirzallah, Omar 3 2017 Estimates for the real and imaginary parts of the eigenvalues of matrices and applications. Zbl 1361.15021Gumus, Ibrahim Halil; Hirzallah, Omar; Kittaneh, Fuad 4 2016 Singular values of convex functions of operators and the arithmetic-geometric mean inequality. Zbl 1327.47014Hirzallah, Omar 2 2016 Numerical radius inequalities for several operators. Zbl 1290.47006Hirzallah, Omar; Kittaneh, Fuad 7 2014 Eigenvalue localization for complex matrices. Zbl 1326.15015Gümüş, Ibrahim Halil; Hirzallah, Omar; Kittaneh, Fuad 5 2014 Refinements and reverses of means inequalities for Hilbert space operators. Zbl 1276.47021Kittaneh, Fuad; Krnić, Mario; Lovričević, Neda; Pečarić, Josip; Hirzallah, Omar 5 2013 Numerical radius inequalities for \(2\times 2\) operator matrices. Zbl 1267.47008Hirzallah, Omar; Kittaneh, Fuad; Shebrawi, Khalid 13 2012 Eigenvalue inequalities for differences of means of Hilbert space operators. Zbl 1248.47019Hirzallah, Omar; Kittaneh, Fuad; Krnić, Mario; Lovričević, Neda; Pečarić, Josip 5 2012 Numerical radius inequalities for certain \(2 \times 2\) operator matrices. Zbl 1238.47004Hirzallah, Omar; Kittaneh, Fuad; Shebrawi, Khalid 59 2011 Numerical radius inequalities for commutators of Hilbert space operators. Zbl 1227.47003Hirzallah, Omar; Kittaneh, Fuad; Shebrawi, Khalid 16 2011 Singular value inequalities for the arithmetic, geometric and Heinz means of matrices. Zbl 1242.15015Gumus, Ibrahim Halil; Hirzallah, Omar; Taskara, Necati 3 2011 Schatten \(p\)-norm inequalities related to a characterization of inner product spaces. Zbl 1201.47013Hirzallah, Omar; Kittaneh, Fuad; Moslehian, Mohammad Sal 10 2010 Singular values, norms, and commutators. Zbl 1188.47018Hirzallah, Omar; Kittaneh, Fuad 8 2010 Jensen matrix inequalities and direct sums. Zbl 1205.15035Bourin, Jean-Christophe; Hirzallah, Omar; Kittaneh, Fuad 1 2010 Commutator inequalities for Hilbert space operators. Zbl 1172.47025Hirzallah, Omar 5 2009 Non-commutative Clarkson inequalities for \(n\)-tuples of operators. Zbl 1155.47013Hirzallah, Omar; Kittaneh, Fuad 19 2008 Inequalities for sums and direct sums of Hilbert space operators. Zbl 1116.47012Hirzallah, Omar; Kittaneh, Fuad 15 2007 Inequalities for sums and products of operators. Zbl 1081.47009Hirzallah, Omar 11 2005 Non-commutative operator Bohr inequality. Zbl 1028.47009Hirzallah, Omar 15 2003 Non-commutative Clarkson inequalities for unitarily invariant norms. Zbl 1054.47011Hirzallah, Omar; Kittaneh, Fuad 19 2002 Norm inequalities for weighted power means of operators. Zbl 1017.47003Hirzallah, Omar; Kittaneh, Fuad 13 2002 Matrix Young inequalities for the Hilbert-Schmidt norm. Zbl 0957.15018Hirzallah, Omar; Kittaneh, Fuad 54 2000 all cited Publications top 5 cited Publications all top 5 Cited by 239 Authors 47 Kittaneh, Fuad 18 Hirzallah, Omar 17 Sababheh, Mohamad Suboh 16 Moslehian, Mohammad Sal 10 Bakherad, Mojtaba 9 Bhunia, Pintu 9 Paul, Kallol 8 Audeh, Wasim 8 Shebrawi, Khalid 7 Alrimawi, Fadi 7 Ighachane, Mohamed Amine 6 Sahoo, Satyajit 5 Akkouchi, Mohamed 5 Al-Natoor, Ahmad 5 Moradi, Hamid Reza 5 Omidvar, Mohsen Erfanian 5 Yang, Changsen 5 Zhao, Jianguo 4 Alakhrass, Mohammad 4 Gao, Fugen 4 Hosseini, Mohsen Shah 4 Krnić, Mario 4 Mishra, Debasisha 4 Pečarić, Josip 4 Ren, Yonghui 4 Rout, Nirmal Chandra 4 Zamani, Ali 3 Abu-Omar, Amer 3 Al-Dolat, Mohammed 3 Aujla, Jaspal Singh 3 Bag, Santanu 3 Dragomir, Sever Silvestru 3 Feki, Kais 3 Furuichi, Shigeru 3 Jocić, Danko R. 3 Lashkaripour, Rahmatollah 3 Milošević, Stefan 3 Moosavi, Baharak 3 Nayak, Raj Kumar 3 Tan, Fuping 3 Wu, Junliang 3 Xu, Qingxiang 3 Zou, Limin 2 Abdurexit, Abdugheni 2 Al-Khlyleh, Mohammad 2 Al-Manasrah, Yousef 2 Albadawi, Hussien 2 Alomari, Mohammad Wajeeh 2 Bani-Domi, Watheq 2 Benabdi, El Hassan 2 Bourin, Jean-Christophe 2 Chansangiam, Pattrawut 2 Choi, Daeshik 2 Conde, Cristian M. 2 Das, Namita 2 Fu, Xiaohui 2 Gumus, Ibrahim Halil 2 Hajmohamadi, Monire 2 Jiang, Zhaolin 2 Kissin, Edward V. 2 Li, Meng 2 Lovričević, Neda 2 Manasrah, Yousef 2 Manjegani, Seyed Mahmoud 2 Massey, Pedro G. 2 Nasiri, Leila 2 Niezgoda, Marek 2 Raïssouli, Mustapha 2 Rooin, Jamal 2 Saito, Kichisuke 2 Sattari, Mostafa 2 Shao, Jingjing 2 Sheybani, Shiva 2 Singh, Mandeep 2 Stojanoff, Demetrio 2 Tian, Mengyu 2 Tominaga, Masaru 2 Wu, Deyu 2 Xie, Antai 2 Yousef, Abdelrahman 2 Zhang, Fuzhen 1 Abdelouahab, Mansour 1 Abramovich, Shoshana 1 Abu-As’ad, Ata 1 Abushaheen, Fuad A. 1 Afraz, Davood 1 Aici, Soumia 1 Al-Husban, Baráa 1 Al-Rawabdeh, Amer 1 Al-Zoubi, Khaldoun 1 Aldalabih, Alaa 1 Alfakhr, Mahdi Taleb 1 Alizadeh, Rahim 1 Alquran, Marwan Taiseer 1 Alsaadi, Fawaz E. 1 Alzer, Horst 1 Amyari, Maryam 1 Antezana, Jorge 1 Askari, Bahman 1 Aziznejad, Shayan ...and 139 more Authors all top 5 Cited in 61 Serials 55 Linear Algebra and its Applications 29 Linear and Multilinear Algebra 14 Journal of Mathematical Inequalities 11 Journal of Mathematical Analysis and Applications 11 Journal of Inequalities and Applications 9 Positivity 9 Annals of Functional Analysis 8 Advances in Operator Theory 7 Results in Mathematics 7 Mathematical Inequalities & Applications 5 Filomat 5 Banach Journal of Mathematical Analysis 4 Mathematica Slovaca 4 Numerical Functional Analysis and Optimization 4 ELA. The Electronic Journal of Linear Algebra 4 Mediterranean Journal of Mathematics 3 Proceedings of the American Mathematical Society 3 Complex Analysis and Operator Theory 3 Operators and Matrices 3 Journal of Function Spaces 2 Rocky Mountain Journal of Mathematics 2 Studia Mathematica 2 Integral Equations and Operator Theory 2 Acta Mathematica Sinica. English Series 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Hacettepe Journal of Mathematics and Statistics 2 Proyecciones 1 Bulletin of the Australian Mathematical Society 1 Journal of Mathematical Physics 1 Periodica Mathematica Hungarica 1 Ukrainian Mathematical Journal 1 Applied Mathematics and Computation 1 Archiv der Mathematik 1 Journal of Functional Analysis 1 Journal of Number Theory 1 Kyungpook Mathematical Journal 1 Mathematica Scandinavica 1 Monatshefte für Mathematik 1 Bulletin of the Iranian Mathematical Society 1 International Journal of Mathematics 1 Indagationes Mathematicae. New Series 1 Turkish Journal of Mathematics 1 Integral Transforms and Special Functions 1 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics 1 Analysis (München) 1 Communications of the Korean Mathematical Society 1 Lobachevskii Journal of Mathematics 1 Nihonkai Mathematical Journal 1 Applied Mathematics E-Notes 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Applicable Analysis and Discrete Mathematics 1 Asian-European Journal of Mathematics 1 Science China. Mathematics 1 Advances in Pure and Applied Mathematics 1 International Journal of Nonlinear Analysis and Applications 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Problemy Analiza. Issues of Analysis 1 Journal of Mathematics 1 Open Mathematics 1 Korean Journal of Mathematics all top 5 Cited in 14 Fields 198 Operator theory (47-XX) 121 Linear and multilinear algebra; matrix theory (15-XX) 44 Real functions (26-XX) 44 Functional analysis (46-XX) 3 Functions of a complex variable (30-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 Combinatorics (05-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Nonassociative rings and algebras (17-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Convex and discrete geometry (52-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year