Complete form of Furuta inequality

DOI10.1090/S0002-9939-08-09446-XzbMath1147.47016MaRDI QIDQ3518244

Jiang-Tao Yuan, Zong Sheng Gao

Publication date: 7 August 2008

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Furuta inequalitypositive operatorLöwner-Heinz inequalityAluthge transformation\(q\)-hyponormal operator

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Subnormal operators, hyponormal operators, etc. (47B20)

Related Items (5)

Notes on Greub-Rheinboldt inequalities ⋮ Comprehensive survey on an order preserving operator inequality ⋮ Extensions of Kadison's inequality on positive linear maps ⋮ Some properties of Furuta type inequalities and applications ⋮ Fuglede-Putnam type theorems for \((p, k)\)-quasihyponormal operators via hyponormal operators

Cites Work

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• Extension of the Furuta inequality and Ando-Hiai log-majorization
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• Extensions of the results on powers of \(p\)-hyponormal and \(\log\)-hyponormal operators
• On p-hyponormal operators for \(0<p<1\)
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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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