A Hilbert-Schmidt norm inequality for positive semidefinite matrices related to a question of Bourin

DOI10.1007/s11117-022-00924-yzbMath1493.15073OpenAlexW4283777563WikidataQ114223746 ScholiaQ114223746MaRDI QIDQ2154920

Mostafa Hayajneh, Saja Hayajneh, Fuad Kittaneh

Publication date: 15 July 2022

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-022-00924-y

zbMATH Keywords

traceinequalitypositive semidefinite matrixHilbert-Schmidt normBourin's question

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)

Related Items (2)

A unitarily invariant norm inequality for positive semidefinite matrices and a question of Bourin ⋮ Remarks on a question of Bourin for positive semidefinite matrices

Cites Work

• Remarks on two recent results of Audenaert
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• Norm inequalities for fractional powers of positive operators
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• Remarks on some norm inequalities for positive semidefinite matrices and questions of Bourin
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• Trace inequalities for multiple products of two matrices
• Norm inequalities for positive semidefinite matrices and a question of Bourin
• On the Ando-Hiai-Okubo trace inequality
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• MATRIX SUBADDITIVITY INEQUALITIES AND BLOCK-MATRICES
• Lieb-Thirring trace inequalities and a question of Bourin
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