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Linear and Multilinear Algebra Volume 63, 2015 - Issue 2
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Articles

Principal powers of matrices with positive definite real part

Stephen DruryDepartment of Mathematics and Statistics, McGill University, Montreal, Canada.Correspondence[email protected]
Pages 296-301 | Received 24 Jul 2013, Accepted 04 Nov 2013, Published online: 14 Feb 2014

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Hayoung Choi, Sejong Kim & Yongdo Lim. (2024) A binomial expansion formula for weighted geometric means of unipotent matrices. Linear and Multilinear Algebra 72:4, pages 615-630.
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Hamid Reza Moradi, Shigeru Furuichi & Mohammad Sababheh. (2022) Some operator inequalities via convexity. Linear and Multilinear Algebra 70:22, pages 7740-7752.
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A. Ringh & L. Qiu. (2022) Finsler geometries on strictly accretive matrices. Linear and Multilinear Algebra 70:21, pages 6753-6771.
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Mengyan Xie & Jiao Zhang. (2022) Inequalities for arithmetic–geometric–harmonic means of sector matrices. Linear and Multilinear Algebra 70:20, pages 5922-5931.
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Yassine Bedrani, Fuad Kittaneh & Mohammed Sababheh. (2021) Numerical radii of accretive matrices. Linear and Multilinear Algebra 69:5, pages 957-970.
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Minghua Lin & Fangfang Sun. (2017) A property of the geometric mean of accretive operators. Linear and Multilinear Algebra 65:3, pages 433-437.
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Alemeh Sheikhhosseini, Somayeh Malekinejad & Maryam Khosravi. (2024) Some Hadamard product inequalities for accretive matrices. Advances in Operator Theory 9:2.
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A. G. Ghazanfari, S. Malekinejad & M. Sababheh. (2024) An extension of the weighted geometric mean in unital JB-algebras. Annals of Functional Analysis 15:2.
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Tianqiu Yu, Di Zhao & Li Qiu. (2023) Phases of Sectorial Operators. Integral Equations and Operator Theory 95:4.
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Pintu Bhunia, Kallol Paul & Anirban Sen. (2023) Numerical radius inequalities of sectorial matrices. Annals of Functional Analysis 14:3.
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Sara Boutata, Omar Hirzallah & Fuad Kittaneh. (2022) Inequalities for Products of the Singular Values of the Weighted Geometric Means of Sectorial Matrices. Results in Mathematics 78:1.
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Mustapha Raïssouli. (2022) On the Weighted Chaotic Identric Mean of Two Accretive Matrices. Bulletin of the Iranian Mathematical Society 48:6, pages 3855-3881.
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Samah Abu Sammour, Fuad Kittaneh & Mohammad Sababheh. (2022) A geometric approach to numerical radius inequalities. Linear Algebra and its Applications 652, pages 1-17.
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Chaojun Yang. (2022) Some Singular Value Inequalities for Sector Matrices Involving Operator Concave Functions. Journal of Mathematics 2022, pages 1-10.
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Di Zhao, Axel Ringh, Li Qiu & Sei Zhen Khong. (2022) Low Phase-Rank Approximation. Linear Algebra and its Applications 639, pages 177-204.
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Yoichi Udagawa. (2022) Accretive operator means and the reverse arithmetic–geometric–harmonic inequality. Advances in Operator Theory 7:2.
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Leila Nasiri & Shigeru Furuichi. (2022) New inequalities for sector matrices applying Garg–Aujla inequalities. Advances in Operator Theory 7:2.
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Marcell Gaál & Miklós Pálfia. (2022) A Note on Real Operator Monotone Functions. International Mathematics Research Notices 2022:6, pages 4259-4279.
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Chaojun Yang. (2022) Some operator mean inequalities for sector matrices. AIMS Mathematics 7:6, pages 10778-10789.
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Mustapha Raïssouli. (2022) On the weighted logarithmic mean of accretive matrices. Filomat 36:12, pages 4185-4194.
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Xin Mao, Li Qiu, Axel Ringh & Dan Wang. (2021) Some counterexamples related to sectorial matrices and matrix phases. Examples and Counterexamples 1, pages 100019.
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Yassine Bedrani, Fuad Kittaneh & Mohammad Sababheh. (2021) From positive to accretive matrices. Positivity 25:4, pages 1601-1629.
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Chaojun Yang. (2021) More inequalities on numerical radii of sectorial matrices. AIMS Mathematics 6:4, pages 3927-3939.
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Junjian Yang & Linzhang Lu. (2020) Weighted geometric mean of two accretive matrices. Annals of Functional Analysis 12:1.
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Yassine Bedrani, Fuad Kittaneh & Mohammed Sababheh. (2020) On the weighted geometric mean of accretive matrices. Annals of Functional Analysis 12:1.
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Takashi Sano & Kota Sugawara. (2020) Operator means for operators with positive definite real part. Advances in Operator Theory 5:3, pages 640-646.
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Chaojun Yang & Fangyan Lu. (2020) Inequalities for the Heinz mean of sector matrices involving positive linear maps. Annals of Functional Analysis 11:3, pages 866-878.
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Fuping Tan & Antai Xie. (2019) An Extension of the AM–GM–HM Inequality. Bulletin of the Iranian Mathematical Society 46:1, pages 245-251.
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Chaojun Yang, Yaxin Gao & Fangyan Lu. (2019) Some reverse mean inequalities for operators and matrices. Journal of Inequalities and Applications 2019:1.
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Daeshik Choi, Tin-Yau Tam & Pingping Zhang. (2019) Extensions of Fischer's inequality. Linear Algebra and its Applications 569, pages 311-322.
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Jun-Tong Liu & Qing-Wen Wang. (2018) More Inequalities for Sector Matrices. Bulletin of the Iranian Mathematical Society 44:4, pages 1059-1066.
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J. Liu & X. Sheng. (2018) Analogues of Some Determinantal Inequalities for Sector Matrices. Bulletin of the Iranian Mathematical Society 44:1, pages 53-59.
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Mustapha Raïssouli, Mohammad Sal Moslehian & Shigeru Furuichi. (2017) Relative entropy and Tsallis entropy of two accretive operators. Comptes Rendus. Mathématique 355:6, pages 687-693.
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David P. Blecher & Zhenhua Wang. (2015) Roots in Operator and Banach Algebras. Integral Equations and Operator Theory 85:1, pages 63-90.
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