A New Majorization Induced by Matrix Order

DOI10.1007/978-3-7643-8893-5_14zbMath1156.47023OpenAlexW169047634MaRDI QIDQ3612921

Mitsuru Uchiyama

Publication date: 11 March 2009

Published in: Recent Advances in Operator Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-7643-8893-5_14

zbMATH Keywords

operator monotone functionoperator inequalitymajorisationmatrix order

Mathematics Subject Classification ID

Linear inequalities of matrices (15A39) Linear operator inequalities (47A63)

Related Items (2)

Some results on Kwong functions and related inequalities ⋮ Operator monotone functions, positive definite kernels and majorization

Cites Work

• Inequalities between \(\|f(A + B)\|\) and \(\|f(A) + f(B)\|\)
• A matrix subadditivity inequality for \(f(A + B)\) and \(f(A) + f(B)\)
• Furuta's inequality and its application to Ando's theorem
• Operator monotone functions which are defined implicitly and operator inequalities
• A new majorization between functions, polynomials, and operator inequalities
• A new majorization between functions, polynomials, and operator inequalities. II
• Some exponential operator inequalities
• $A \geq B \geq 0$ Assures $(B^r A^p B^r)^{1/q} \geq B^{(p+2r)/q$ for $r \geq 0$, $p \geq 0$, $q \geq 1$ with $(1 + 2r)q \geq p + 2r$
• On some operator inequalities
• On some operator monotone functions

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