Mixed matrix (operator) inequalities

DOI10.1016/S0024-3795(01)00380-9zbMath1030.47012MaRDI QIDQ5957197

Mitsuru Uchiyama

Publication date: 18 February 2004

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

zbMATH Keywords

operator monotone functionoperator inequalityMatrix monotone functionmixed inequalityPositive definite matrix

Mathematics Subject Classification ID

Linear operator inequalities (47A63)

Related Items (1)

A new majorization between functions, polynomials, and operator inequalities

Cites Work

• Unnamed Item
• Jensen's inequality for operators and Loewner's theorem
• Furuta's inequality and its application to Ando's theorem
• Means of positive linear operators
• Operator monotone functions which are defined implicitly and operator inequalities
• An operator inequality related to Jensen’s inequality
• Two Operator Functions with Monotone Property
• Some exponential operator inequalities
• An extension of Uchiyama's result associated with an order preserving operator inequality
• $A \geq B \geq 0$ 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

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