Simple proof of the \(p\)-hyponormality of the Aluthge transformation

DOI10.1007/BF01233967zbMath0929.47014OpenAlexW2030882565MaRDI QIDQ1283994

K. Appert

Publication date: 25 January 2000

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01233967

zbMATH Keywords

polar decompositionAluthge transform\(p\)-hyponormality

Mathematics Subject Classification ID

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

Cites Work

• Spectral theory of hyponormal operators
• Further extensions of Aluthge transformation on \(p\)-hyponormal operators
• Some generalized theorems on \(p\)-hyponormal operators
• On p-hyponormal operators for \(0<p<1\)
• The p-Hyponormality of The Aluthge Transform.
• Weyl's theorem holds for p-hyponormal operators
• A note on $p$-hyponormal operators
• Putnam's Inequality for p-Hyponormal 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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