Conditional negativity of anti-Loewner matrices

DOI10.1080/03081087.2011.627858zbMath1255.15039OpenAlexW1992029323MaRDI QIDQ3143333

Chikara Hidaka, Takashi Sano

Publication date: 29 November 2012

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

Full work available at URL: https://doi.org/10.1080/03081087.2011.627858

zbMATH Keywords

positive semidefiniteHermitian matrixLoewner matrixconditionally negative definiteconditionally positive definiteanti-Loewner matrix

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Positive matrices and their generalizations; cones of matrices (15B48) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (2)

Positivity around Cauchy matrices ⋮ Conditional negativity of Kwong matrices II

Cites Work

• Positivity and conditional positivity of Loewner matrices
• 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
• A characterisation of anti-Löwner functions
• Positive Definite Functions and Operator Inequalities

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