Variants of Ando-Hiai Inequality (Q3612916)

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English	Variants of Ando-Hiai Inequality	scientific article

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scholarly article

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Variants of Ando-Hiai Inequality (English)

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Masatoshi Fujii

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Recent Advances in Operator Theory and Applications

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publication date

11 March 2009

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zbMATH Keywords

positive operators

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geometric mean

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Ando-Hiai inequality

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Furuta inequality

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/978-3-7643-8893-5_9

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Log majorization and complementary Golden-Thompson type inequalities

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Ando-Hiai inequality and Furuta inequality

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$A \geq B \geq 0$ 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 $(1 + 2r)q \geq p + 2r$

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An elementary proof of an order preserving inequality

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Extension of the Furuta inequality and Ando-Hiai log-majorization

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Means of positive linear operators

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Identifiers

zbMATH Open document ID

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10.1007/978-3-7643-8893-5_9

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:3612916

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