Aluthge iterations of weighted translation semigroups

DOI10.1016/J.JMAA.2008.10.055zbMath1160.47310OpenAlexW2049656295MaRDI QIDQ1018662

Jung Woi Park, Il Bong Jung, Mi Young Lee, Charles Burnap

Publication date: 20 May 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.10.055

zbMATH Keywords

hyponormal operatorAluthge transformAluthge iterationweighted translation semigroup

Mathematics Subject Classification ID

Numerical range, numerical radius (47A12) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37)

Cites Work

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• Spectral theory of hyponormal operators
• On Aluthge transforms of \(p\)-hyponormal operators
• On \(k\)-hyperexpansive operators
• Weighted translation semigroups
• The iterated Aluthge transforms of a 2-by-2 matrix converge.
• Aluthge transforms of operators
• The iterated Aluthge transform of an operator
• Convergence of the iterated Aluthge transform sequence for diagonalizable matrices
• On p-hyponormal operators for \(0<p<1\)

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