New formulas for the spectral radius via \(\lambda\)-Aluthge transform

DOI10.1016/j.laa.2016.11.022zbMathNonearXiv1606.06158OpenAlexW2964150771MaRDI QIDQ501281

Fadil Chabbabi, Mostafa Mbekhta

Publication date: 29 December 2016

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.06158

zbMATH Keywords

spectral radiuspolar decomposition\(\lambda\)-Aluthge transformnormaloid operator

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37)

Related Items (3)

Spectral radius formulas involving generalized Aluthge transform ⋮ Bounds of numerical radius of bounded linear operators using t-Aluthge transform ⋮ Aluthge operator field and its numerical range and spectral properties

Cites Work

• \(\lambda\)-Aluthge iteration and spectral radius
• On weakly unitarily invariant norm and the Aluthge transformation
• The iterated Aluthge transforms of a 2-by-2 matrix converge.
• Aluthge transforms of operators
• The iterated Aluthge transform of an operator
• \(\lambda\)-Aluthge transforms and Schatten ideals
• On p-hyponormal operators for \(0<p<1\)
• An expression of spectral radius via Aluthge transformation
• On models for linear operators
• Heinz and McIntosh inequalities, Aluthge transformation and the spectral radius
• An operator inequality
• Spectral pictures of Aluthge transforms of operators

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