Löwner inequality of indefinite type

DOI10.1016/S0024-3795(03)00496-8zbMath1059.15025MaRDI QIDQ1827499

Yanyan Li

Publication date: 6 August 2004

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

eigenvaluesindefinite inner productselfadjoint matricesLöwner inequalityOperator monotone function

Mathematics Subject Classification ID

Miscellaneous inequalities involving matrices (15A45) Quadratic and bilinear forms, inner products (15A63)

Related Items (12)

Log-majorization Type Inequalities ⋮ Antitonicity of the inverse for selfadjoint matrices, operators, and relations ⋮ Comprehensive survey on an order preserving operator inequality ⋮ Some reverse inequalities for matrices on indefinite inner product spaces ⋮ On a reverse Heinz-Kato-Furuta inequality ⋮ Unnamed Item ⋮ The \(J\)-numerical range of a \(J\)-Hermitian matrix and related inequalities ⋮ Trace inequalities for logarithms and powers of J-Hermitian matrices ⋮ On the Courant--Fischer theory for Krein spaces ⋮ The arithmetic-geometric mean inequality of indefinite type ⋮ Indefinite matrix inequalities via matrix means ⋮ Inequalities for \(J\)-Hermitian matrices

Cites Work

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• A question regarding inequalities between Hermitian operators
• On self-adjoint operators connected by inequalities and on their applications to problems of mathematical physics
• Monotone and Convex Operator Functions

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