Spherical Aluthge transform, sphericalpandlog-hyponormality of commuting pairs of operators

DOI10.1080/03081087.2020.1781040OpenAlexW3036925737MaRDI QIDQ5089343

Jasang Yoon, Hyungwon Kim, Jaewoong Kim

Publication date: 19 July 2022

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

Full work available at URL: https://doi.org/10.1080/03081087.2020.1781040

zbMATH Keywords

spherical Aluthge transformTaylor invertibilityshort Koszul complexspherical \(p\)-hyponormalityspherical Duggal transformspherical log-hyponormality

Mathematics Subject Classification ID

Subnormal operators, hyponormal operators, etc. (47B20)

Related Items (3)

Spectra of the spherical Aluthge transform, the linear pencil, and a commuting pair of operators ⋮ Generalized spherical Aluthge transforms and binormality for commuting pairs of operators ⋮ Spherical mean transform of operator pairs

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Toral and spherical Aluthge transforms of 2-variable weighted shifts
• Aluthge transforms and common invariant subspaces for a commuting \(n\)-tuple of operators
• Spectral theory of hyponormal operators
• Hyponormality and subnormality for powers of commuting pairs of subnormal operators
• Powers of \(p\)-hyponormal operators
• On log-hyponormal operators
• Aluthge transforms of operators
• Aluthge transforms of 2-variable weighted shifts
• Quasinormality of powers of commuting pairs of bounded operators
• Spherically quasinormal pairs of commuting operators
• Joint spectra of spherical Aluthge transforms of commuting \(n\)-tuples of Hilbert space operators
• The analytic-functional calculus for several commuting operators
• \(k\)-Hyponormality of multivariable weighted shifts
• On p-hyponormal operators for \(0<p<1\)
• An expression of spectral radius via Aluthge transformation
• When is hyponormality for 2-variable weighted shifts invariant under powers?
• On the Iterated Duggal Transforms
• On Joint Hyponormality of Operators
• The Square Root Problem and Aluthge transforms of weighted shifts
• The Aluthge transform of unilateral weighted shifts and the Square Root Problem for finitely atomic measures
• Spectral pictures of Aluthge transforms of operators

This page was built for publication: Spherical Aluthge transform, sphericalpandlog-hyponormality of commuting pairs of operators