Joint spectra of spherical Aluthge transforms of commuting \(n\)-tuples of Hilbert space operators

DOI10.1016/j.crma.2019.10.003zbMath1503.47005arXiv1910.08824OpenAlexW2980413874WikidataQ126999681 ScholiaQ126999681MaRDI QIDQ2337314

Jasang Yoon, Chafiq Benhida, Sang Hoon Lee, Raúl E. Curto

Publication date: 19 November 2019

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.08824

zbMATH Keywords

spherical Aluthge transformHilbert space operatorsspectral systemsjoint polar decomposition

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items (10)

Spectra of the spherical Aluthge transform, the linear pencil, and a commuting pair of operators ⋮ Spherical Aluthge transform, sphericalpandlog-hyponormality of commuting pairs of operators ⋮ The spectral picture and joint spectral radius of the generalized spherical Aluthge transform ⋮ Generalized spherical Aluthge transforms and binormality for commuting pairs of operators ⋮ Spherical mean transform of operator pairs ⋮ On the image of the mean transform ⋮ Inequalities involving the generalized spherical Aluthge transform of operators ⋮ Upper bounds for the Euclidean spectral radius of operators via joint norms ⋮ Aluthge operator field and its numerical range and spectral properties ⋮ Joint numerical radius of spherical Aluthge transforms of tuples of Hilbert space operators

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