Positive Linear Maps and Spreads of Matrices

DOI10.4169/amer.math.monthly.121.07.619zbMath1320.15015OpenAlexW2396260270WikidataQ58118746 ScholiaQ58118746MaRDI QIDQ5496604

Rajesh Sharma, Rajendra Bhatia

Publication date: 2 February 2015

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4169/amer.math.monthly.121.07.619

zbMATH Keywords

inequalitiesHermitian matricesnumerical rangeoperator normpositive maps

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)

Related Items (15)

Some bounds for central moments and spreads of matrices ⋮ Note on bounds for eigenvalues using traces ⋮ Some inequalities related to eigenvalues ⋮ Some inequalities involving eigenvalues and positive linear maps ⋮ Determinant and eigenvalue inequalities involving nonnegative matrices ⋮ Some inequalities for eigenvalues and positive linear maps ⋮ Bounds on spreads of matrices related to fourth central moment ⋮ Positive and doubly stochastic maps, and majorization in Euclidean Jordan algebras ⋮ Positive linear maps and perturbation bounds of matrices ⋮ A note on inequalities for positive linear maps ⋮ Unnamed Item ⋮ Positive linear maps and spreads of matrices. II ⋮ Some inequalities for central moments of matrices ⋮ Grüss type inequalities for positive linear maps on C^∗-algebras ⋮ Inequalities for central moments and spreads of matrices

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