The matrix arithmetic–geometric mean inequality revisited

Rajendra Bhatia, Fuad Kittaneh

Type: Article

Publication Date: 2008-02-13

Citations: 84

DOI: https://doi.org/10.1016/j.laa.2007.11.030

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Linear Algebra and its Applications - View

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+	Norm inequalities related to the matrix geometric mean	2012	Rajendra Bhatia Priyanka Grover
+	Singular value inequalities for compact operators	2012	Wasim Audeh Fuad Kittaneh
+	On Schatten restricted norms	2020	Martín Miglioli
+	Some numerical radius inequalities for tensor products of operators	2024	Soumia Aici Abdelkader Frakis Fuad Kittaneh
+	Commutator Bounds via Singular Values with Applications to the Numerical Radius	2024	Wasim Audeh Hamid Reza Moradi Mohammad Sababheh
+	Better bounds on the numerical radii of Hilbert space operators	2020	Mohsen Erfanian Omidvar Hamid Reza Moradi
+	Beneath the valley of the noncommutative arithmetic-geometric mean inequality: conjectures, case-studies, and consequences	2012	Benjamin Recht Christopher Ré
+ PDF Chat	Inequalities related to 2 ✕ 2 block PPT matrices	2015	Minghua Lin
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Works Cited by This (36)

Action	Title	Year	Authors
+	Matrix Young Inequalities	1995	T. Andô
+	Geometrical significance of the Löwner-Heinz inequality	1999	Esteban Andruchow Gustavo Corach D. Stojanoff
+ PDF Chat	Young’s Inequality in Compact Operators	2002	Juliana Erlijman Douglas Farenick Renying Zeng
+	On the Singular Values of a Product of Operators	1990	Rajendra Bhatia Fuad Kittaneh
+	Geometric operator inequalities	1997	Esteban Andruchow Gustavo Corach Demetrio Stojanoff
+	Notes on matrix arithmetic–geometric mean inequalities	2000	Rajendra Bhatia Fuad Kittaneh
+	Matrix Young inequalities for the Hilbert–Schmidt norm	2000	Omar Hirzallah Fuad Kittaneh
+	Norm inequalities for commutators of positive operators and applications	2007	Fuad Kittaneh
+ PDF Chat	A singular value inequality for Heinz means	2006	Koenraad M. R. Audenaert
+ PDF Chat	Norm inequalities equivalent to Heinz inequality	1993	Junichi Fujii Masatoshi Fujii Takayuki Furuta Ritsuo Nakamoto