TRACE INEQUALITIES AND A QUESTION OF BOURIN

DOI10.1017/S0004972712001104zbMath1305.15021OpenAlexW2116062062MaRDI QIDQ2872005

Fuad Kittaneh, Saja Hayajneh

Publication date: 14 January 2014

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

Full work available at URL: https://doi.org/10.1017/s0004972712001104

zbMATH Keywords

operator inequalitypositive operatorconcave functionunitarily invariant normHilbert-Schmidt normtrace norm

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Linear operator inequalities (47A63) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Miscellaneous inequalities involving matrices (15A45)

Related Items (16)

On a matrix trace inequality due to Ando, Hiai and Okubo ⋮ Norm inequalities related to the arithmetic-geometric mean inequalities for positive semidefinite matrices ⋮ A Hilbert-Schmidt norm inequality for positive semidefinite matrices related to a question of Bourin ⋮ Operator-norm inequalities and interpolated trace inequalities ⋮ On norm inequalities related to the geometric mean ⋮ Remarks on two recent results of Audenaert ⋮ New Hilbert-Schmidt norm inequalities for positive semidefinite matrices ⋮ Norm inequalities for positive definite matrices related to a question of Bourin ⋮ Norm inequalities for positive semidefinite matrices and a question of Bourin ⋮ Remarks on some norm inequalities for positive semidefinite matrices and questions of Bourin ⋮ Remarks on a question of Bourin for positive semidefinite matrices ⋮ Functional inequalities for positive matrices ⋮ Notes on two recent results of Audenaert ⋮ Geometry and inequalities of geometric mean ⋮ Norm inequalities for positive semi-definite matrices and a question of Bourin II ⋮ Norm inequalities for positive semidefinite matrices and a question of Bourin. III

Cites Work

• Inequalities between \(\|f(A + B)\|\) and \(\|f(A) + f(B)\|\)
• A matrix subadditivity inequality for \(f(A + B)\) and \(f(A) + f(B)\)
• A note on the arithmetic-geometric-mean inequality for matrices
• Norm inequalities for positive operators
• Norm inequalities related to operator monotone functions
• MATRIX SUBADDITIVITY INEQUALITIES AND BLOCK-MATRICES

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