\(A\geq B\geq 0\) ensures \((B^{\frac r2}A^pB^{\frac r2})^{\frac 1q}\geq(B^{\frac r2}B^pB^{\frac r2})^{\frac 1q}\) for \(r\geq 0\), \(p\geq 0\), \(q\geq 1\) with \((1+r)q\geq p+r\) and its recent applications

zbMATH Open1005.47022MaRDI QIDQ2708932

Takayuki Furuta

Publication date: 6 May 2001

zbMATH Keywords

Furuta inequalityLöwner-Heinz inequalitylog majorizationrelative operator entropyAluthge transformationp-hyponormal operators

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Subnormal operators, hyponormal operators, etc. (47B20) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Linear operators in ({}^*)-algebras (47C10)

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