Positivity and conditional positivity of Loewner matrices

DOI10.1007/s11117-009-0027-2zbMath1204.15039OpenAlexW1995537216MaRDI QIDQ707864

Rajendra Bhatia, Takashi Sano

Publication date: 8 October 2010

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-009-0027-2

zbMATH Keywords

Hadamard productpositive semidefiniteoperator monotoneCauchy matrixLoewner matrixoperator convexconditionally negative definiteconditionally positive definite

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Positive matrices and their generalizations; cones of matrices (15B48) Positive definite functions in one variable harmonic analysis (42A82)

Related Items (5)

Positivity around Cauchy matrices ⋮ Loewner matrices of matrix convex and monotone functions ⋮ Rajendra Bhatia and his mathematical achievements ⋮ Conditional negativity of Kwong matrices II ⋮ Conditional negativity of anti-Loewner matrices

Cites Work

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• Mean matrices and infinite divisibility
• Loewner matrices and operator convexity
• Some results on matrix monotone functions
• Über monotone Matrixfunktionen
• Schlicht mappings and infinitely devisible kernels
• Multinomial Probabilities, Permanents and a Conjecture of Karlin and Rinott
• Positive Definite Functions and Operator Inequalities
• Shorter Notes: Some Operator Monotone Functions
• Monotone and Convex Operator Functions

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