A Determinantal Inequality Involving Partial Traces

DOI10.4153/CMB-2016-001-5zbMath1359.15013MaRDI QIDQ2827411

Minghua Lin

Publication date: 19 October 2016

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

zbMATH Keywords

block matrixdeterminantal inequalitypartial traceblock matrix determinantal inequality

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Miscellaneous inequalities involving matrices (15A45)

Related Items (17)

An Oppenheim type inequality for positive definite block matrices ⋮ A new matrix inequality involving partial traces ⋮ Inequalities about partial transpose and partial traces ⋮ Some singular value inequalities related to linear maps ⋮ Extensions of Hartfiel's inequality to multiple matrices ⋮ Some applications of two completely copositive maps ⋮ Improvements on some partial trace inequalities for positive semidefinite block matrices ⋮ Trace inequalities related to 2 × 2 block sector matrices ⋮ Inequalities for partial determinants of accretive block matrices ⋮ Partial trace inequalities for partial transpose of positive semidefinite block matrices ⋮ Inequalities for partial determinants of positive semidefinite block matrices ⋮ Schatten q-norms and determinantal inequalities for matrices with numerical ranges in a sector ⋮ On some inequalities related to positive block matrices ⋮ Inequalities related to partial transpose and partial trace ⋮ Extensions of some matrix inequalities related to trace and partial traces ⋮ Inequalities on partial traces of positive semidefinite block matrices ⋮ Trace inequalities involving positive semi-definite block matrices

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