Positivity and matrix inequalities: some reminiscences of K. R. Parthasarathy

DOI10.1007/s13226-024-00639-8MaRDI QIDQ6623988

Rajendra Bhatia

Publication date: 24 October 2024

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

matrix inequalitiespositive definite functionsBochner's theorem

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) Miscellaneous inequalities involving matrices (15A45)

Cites Work

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• The matrix arithmetic-geometric mean inequality revisited
• Beiträge zur Störungstheorie der Spektralzerlegung
• Fréchet derivatives of the power function
• Inertia of Loewner matrices
• On the Singular Values of a Product of Operators
• Matrix Analysis
• More Matrix Forms of the Arithmetic-Geometric Mean Inequality
• Positive Definite Functions and Operator Inequalities
• Loewner's Theorem on Monotone Matrix Functions

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