Binormal operator and *-Aluthge transformation

DOI10.1007/s10114-008-6282-5zbMath1175.47024OpenAlexW2055368704MaRDI QIDQ2519343

Yanfeng Ding, Chang Sen Yang

Publication date: 26 January 2009

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-008-6282-5

zbMATH Keywords

polar decompositionAluthge transformationbinormal operators\(\ast\)-Aluthge transformationcentered operators

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Subnormal operators, hyponormal operators, etc. (47B20)

Related Items (1)

On operators satisfying \(T^*|T^{2}|T \geq T^*|T^*|^{2}T\)

Cites Work

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• Linear operators for which T\(^*\)T and TT\(^*\) commute. II
• Aluthge transforms of operators
• On the polar decomposition of the product of two operators and its applications
• On centered and weakly centered operators
• On p-hyponormal operators for \(0<p<1\)
• Linear Operators for which T ∗ T and TT ∗ Commute
• Centered operators
• $A \geq B \geq 0$ 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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