Some generalized theorems on \(p\)-hyponormal operators

DOI10.1007/BF01191623zbMath0843.47014MaRDI QIDQ1911963

Ariyadasa Aluthge

Publication date: 18 August 1996

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

zbMATH Keywords

\(p\)-hyponormal operators

Mathematics Subject Classification ID

Subnormal operators, hyponormal operators, etc. (47B20)

Related Items (24)

Aluthge transforms of unbounded weighted composition operators in L²‐spaces ⋮ Random weighted shifts ⋮ Weighted inequalities for the numerical radius ⋮ Comprehensive survey on an order preserving operator inequality ⋮ \(w\)-hyponormal operators ⋮ Convergence of Aluthge iteration in semisimple Lie groups ⋮ Complex symmetric weighted shifts ⋮ Aluthge iteration in semisimple Lie group ⋮ Spectral pictures of Aluthge transforms of operators ⋮ Angular cutting for log-hyponormal operators ⋮ Unnamed Item ⋮ Applications of polar decompositions of idempotent and 2-nilpotent operators ⋮ On the numerical range behavior under the generalized Aluthge transform ⋮ WEYL'S THEOREM FOR CLASSA(k) OPERATORS ⋮ Isolated point of spectrum of \(p\)-quasihyponormal operators ⋮ Equality of three numerical radius inequalities ⋮ Aluthge transforms of weighted shifts on directed trees ⋮ Class p-wA(s,t) composition operators ⋮ Simple proof of the \(p\)-hyponormality of the Aluthge transformation ⋮ \(\omega\)-hyponormal operators. II ⋮ On log-hyponormal operators ⋮ Aluthge transforms of operators ⋮ On joint essential spectra of doubly commuting n-tuples of p-hyponormal operators ⋮ Isolated point of spectrum of \(p\)-hyponormal, log-hyponormal operators.

Cites Work

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• Spectral theory of hyponormal operators
• Lectures on hyponormal operators
• Über monotone Matrixfunktionen
• On spectra of \(p\)-hyponormal operators
• On p-hyponormal operators for \(0<p<1\)
• Spectral properties of p-hyponormal operators
• Putnam's Inequality for p-Hyponormal Operators
• Hyponormal operators and spectral density
• $A \geq B \geq 0$ 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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