Product commuting maps with the \(\lambda\)-Aluthge transform

DOI10.1016/j.jmaa.2016.12.027zbMath1369.47047arXiv1606.06165OpenAlexW2466990392MaRDI QIDQ504876

Fadil Chabbabi

Publication date: 17 January 2017

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

Full work available at URL: https://arxiv.org/abs/1606.06165

zbMATH Keywords

polar decompositionnormal\(\lambda\)-Aluthge transformquasi-normal operators

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items

General product nonlinear maps commuting with the \(\lambda\)-Aluthge transform, The λ-Aluthge transform of EP matrices, The spectral picture and joint spectral radius of the generalized spherical Aluthge transform, Inequalities involving the generalized spherical Aluthge transform of operators, Upper bounds for the Euclidean spectral radius of operators via joint norms, Polar decomposition, Aluthge and mean transforms, The mean transform and the mean limit of an operator, Jordan product maps commuting with the \(\lambda\)-Aluthge transform, Preservers of \(\lambda\)-Aluthge transforms, Commuting maps with the Mean Transform, n-fold Jordan product commuting maps with a λ-Aluthge transform, Nonlinear maps commuting with the λ-Aluthge transform under (n,m)–Jordan-triple product, Joint spectra of spherical Aluthge transforms of commuting \(n\)-tuples of Hilbert space operators

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