A note on a Wielandt type norm inequality

DOI10.7153/jmi-11-12zbMath1361.15028OpenAlexW2573527739MaRDI QIDQ2960571

Junjian Yang, Xiaohui Fu

Publication date: 17 February 2017

Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/jmi-11-12

zbMATH Keywords

Hilbert spacepositive linear mapsWielandt inequalityoperator normnorm inequalities

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Positive matrices and their generalizations; cones of matrices (15B48) Miscellaneous inequalities involving matrices (15A45) Positive linear operators and order-bounded operators (47B65)

Cites Work

• Some inequalities involving the euclidean condition of a matrix
• A matrix version of the Wielandt inequality and its applications to statistics
• On Wielandt's inequality and its application to the asymptotic distribution of the eigenvalues of a random symmetric matrix
• A maximization problem and its application to canonical correlation
• The asymptotic distribution of singular values with applications to canonical correlations and correspondence analysis
• Recent developments of the operator Kantorovich inequality
• On an operator Kantorovich inequality for positive linear maps
• Norm inequalities related to operator monotone functions
• Notes on matrix arithmetic-geometric mean inequalities
• Some operator inequalities for positive linear maps
• A note on a conjecture about Wielandt’s inequality
• Squaring a reverse AM-GM inequality
• More operator versions of the Schwarz inequality

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