Simplified proof of an order preserving operator inequality

DOI10.3792/pjaa.74.114zbMath0924.47011OpenAlexW2066502567MaRDI QIDQ1281902

Takayuki Furuta

Publication date: 4 November 1999

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.74.114

zbMATH Keywords

Furuta inequality

Mathematics Subject Classification ID

Linear operator inequalities (47A63)

Related Items (7)

Kantorovich type operator inequalities via the Specht ratio. ⋮ Monotonicity of order preserving operator functions ⋮ A complement to monotonicity of generalized Furuta-type operator functions ⋮ Bounds of operator functions and Furuta inequalities ⋮ Convergence of logarithmic trace inequalities via generalized Lie--Trotter formulae ⋮ On a question of Furuta on chaotic order ⋮ Operator inequality implying generalized Bebiano-Lemos-Providência one

Cites Work

• Extension of the Furuta inequality and Ando-Hiai log-majorization
• Best possibility of the Furuta 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 $(1 + 2r)q \geq p + 2r$
• Unnamed Item

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