Quasinormality of powers of commuting pairs of bounded operators

DOI10.1016/J.JFA.2019.108342zbMath1483.47037arXiv1910.08827OpenAlexW2979646184WikidataQ127111039 ScholiaQ127111039MaRDI QIDQ2007984

Jasang Yoon, Sang Hoon Lee, Raúl E. Curto

Publication date: 22 November 2019

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.08827

zbMATH Keywords

Aluthge transform2-variable weighted shiftsspherically quasinormal pairs

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Subnormal operators, hyponormal operators, etc. (47B20) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Dilations, extensions, compressions of linear operators (47A20) Moment problems (44A60) Integration and disintegration of measures (28A50) Software, source code, etc. for problems pertaining to operator theory (47-04)

Related Items (13)

Polynomial embeddings of unilateral weighted shifts in 2-variable weighted shifts ⋮ 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 ⋮ Unbounded operators having self‐adjoint, subnormal, or hyponormal powers ⋮ Converse of Fuglede Theorem ⋮ Inequalities involving the generalized spherical Aluthge transform of operators ⋮ Two-moment characterization of spectral measures on the real line ⋮ Upper bounds for the Euclidean spectral radius of operators via joint norms ⋮ On \(n\)th roots of bounded and unbounded quasinormal operators ⋮ Subnormality of powers of multivariable weighted shifts ⋮ Subnormal \(n\)th roots of quasinormal operators are quasinormal

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