The Hadamard determinant inequality -- extensions to operators on a Hilbert space

DOI10.1016/j.jfa.2017.10.009zbMath1445.47017arXiv1704.05421OpenAlexW2616041795MaRDI QIDQ1707945

Soumyashant Nayak

Publication date: 4 April 2018

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.05421

zbMATH Keywords

conditional expectationsdeterminant inequalityoperator monotone functionsHadamard-Fischer inequality

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Positive matrices and their generalizations; cones of matrices (15B48) Miscellaneous inequalities involving matrices (15A45) Positive linear operators and order-bounded operators (47B65) Linear operators in (C^*)- or von Neumann algebras (47C15)

Related Items (4)

Unnamed Item ⋮ The Hermite-Hadamard inequalities for $p$-convex functions ⋮ On a class of determinant preserving maps for finite von Neumann algebras ⋮ Determinant for positive operators and operator geometric means

Cites Work

• Unnamed Item
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• Jensen's inequality for spectral order and submajorization
• A Schwarz inequality for positive linear maps on C\(^*\)-algebras
• Über monotone Matrixfunktionen
• Inequalities with determinants of perturbed positive matrices
• Positive definite matrices
• Positive linear maps of operator algebras
• Über konvexe Matrixfunktionen
• Determinant theory in finite factors
• A generalized Schwarz inequality and algebraic invariants for operator algebras
• Conditional expectation in an operator algebra
• A Schwarz Inequality for Convex Operator Functions
• On the projection of norm one in $W^ *$-algebras
• A remark on the expectations of operator algebras
• JENSEN'S OPERATOR INEQUALITY
• Positive Linear Maps of Operator Algebras
• Analyticity in Operator Algebras

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