Subscalarity of operator transforms

DOI10.1002/mana.201500037zbMath1357.47008OpenAlexW1691012267MaRDI QIDQ3463415

Sungeun Jung, Shinhae Park, Eungil Ko

Publication date: 14 January 2016

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201500037

zbMATH Keywords

invariant subspaceAluthge transformsubscalar operatorDuggal transformmean transform

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Subnormal operators, hyponormal operators, etc. (47B20) Local spectral properties of linear operators (47A11)

Related Items

On an extension of operator transforms ⋮ Polar decomposition, Aluthge and mean transforms ⋮ On the iterated mean transforms of operators ⋮ The mean transform and the mean limit of an operator ⋮ Commuting maps with the Mean Transform ⋮ Properties of J-self-adjoint operators

Cites Work

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• Some invariant subspaces for subnormal operators
• Hyponormal operators with thick spectra have invariant subspaces
• Invariant subspaces for subscalar operators
• The iterated Aluthge transform of an operator
• Complete contractivity of maps associated with the Aluthge and Duggal transforms.
• The mean transform of bounded linear operators
• On p-hyponormal operators for \(0<p<1\)
• On the Iterated Duggal Transforms
• Algebraic and Triangular n-Hyponormal Operators
• Spectral pictures of Aluthge transforms of operators
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