Subnormality of Aluthge transforms of weighted shifts

DOI10.1007/s00020-011-1934-8zbMath1393.47013OpenAlexW2086460431MaRDI QIDQ421103

Jasang Yoon, Woo Young Lee, Sang Hoon Lee

Publication date: 23 May 2012

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-011-1934-8

zbMATH Keywords

subnormalweighted shiftsAluthge transform\(k\)-hyponormal

Mathematics Subject Classification ID

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) Software, source code, etc. for problems pertaining to operator theory (47-04)

Related Items

Toral and spherical Aluthge transforms of 2-variable weighted shifts, The spectral picture and joint spectral radius of the generalized spherical Aluthge transform, Aluthge transforms of unbounded weighted composition operators in L²‐spaces, Inequalities involving the generalized spherical Aluthge transform of operators, Hamburger-type weighted shifts: jumping flatness and Aluthge transforms, Aluthge transforms of 2-variable weighted shifts, 2-variable weighted shifts and recursiveness: toral Aluthge transform and subnormality, Quasinormality of powers of commuting pairs of bounded operators, The mean transform of bounded linear operators, Linear bijections on von Neumann factors commuting with λ‐Aluthge transform, Joint numerical radius of spherical Aluthge transforms of tuples of Hilbert space operators, Jumping flatness and Aluthge transform of recursive weighted shifts, Joint spectra of spherical Aluthge transforms of commuting \(n\)-tuples of Hilbert space operators, Square root problem and subnormal Aluthge transforms, On the Aluthge transforms of weighted shifts with moments of Fibonacci type. Application to subnormality

Uses Software

• Mathematica

Cites Work

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• Joint hyponormality of Toeplitz pairs
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• Jointly hyponormal pairs of commuting subnormal operators need not be jointly subnormal