On the iterated mean transforms of operators

DOI10.7153/mia-2020-23-49OpenAlexW3017766809MaRDI QIDQ3300402

Eungil Ko, Mee-Jung Lee, Sungeun Jung

Publication date: 28 July 2020

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/mia-2020-23-49

zbMATH Keywords

invariant subspacespolar decompositionDuggal transformaweighted mean transform

Mathematics Subject Classification ID

Subnormal operators, hyponormal operators, etc. (47B20) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Cites Work

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• Aluthge transforms of 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 backward Aluthge iterates of hyponormal operators
• Subscalarity of operator transforms
• Approximate Proper Vectors
• Spectral pictures of Aluthge transforms of operators