TRACE INEQUALITIES FOR MATRICES

DOI10.1017/S0004972712000627zbMath1278.15025MaRDI QIDQ4909998

Khalid Shebrawi, Hussien Albadawi

Publication date: 22 March 2013

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

eigenvaluessingular valuestrace inequalitiesproducts and sums of matrices

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Miscellaneous inequalities involving matrices (15A45)

Related Items (15)

Reverse Jensen's type trace inequalities for convex functions of selfadjoint operators in Hilbert spaces ⋮ Some Trace Inequalities for Operators in Hilbert Spaces ⋮ Trace inequalities for positive operators via recent refinements and reverses of Young's inequality ⋮ Trace inequalities of Cassels and Grüss type for operators in Hilbert spaces ⋮ Improvements of trace inequalities for convex functions ⋮ Trace inequalities of Shisha-Mond type for operators in Hilbert spaces ⋮ Relations between entropy rate, entropy production and information geometry in linear stochastic systems ⋮ Some Gröss' type inequalities for trace of operators in Hilbert spaces ⋮ Some singular value and unitarily invariant norm inequalities for Hilbert space operators ⋮ Matrix inequalities related to Hölder inequality ⋮ Unnamed Item ⋮ Some trace inequalities of Čebyšev type for functions of operators in hilbert spaces ⋮ SOME TRACE INEQUALITIES FOR CONVEX FUNCTIONS OF SELFADJOINT OPERATORS IN HILBERT SPACES ⋮ Some inequalities for trace class operators via a Kato’s result ⋮ Trace inequalities for a block Hadamard product

Cites Work

• Hölder and Young inequalities for the trace of operators
• Inequalities for singular values and traces
• On matrix trace inequalities and related topics for products of Hermitian matrices
• A trace inequality arising from quantum information theory
• Positive definite matrices
• Inequalities: theory of majorization and its applications
• A matrix trace inequality
• Matrix inequalities
• A matrix trace inequality

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