Which 2-hyponormal 2-variable weighted shifts are subnormal?

DOI10.1016/j.laa.2008.06.017zbMath1154.47015OpenAlexW2022241149MaRDI QIDQ947688

Raúl E. Curto, Sang Hoon Lee, Jasang Yoon

Publication date: 6 October 2008

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

Full work available at URL: https://doi.org/10.1016/j.laa.2008.06.017

zbMATH Keywords

flatnesssubnormal pairsjointly hyponormal pairs\(2\)-hyponormal pairs\(2\)-variable weighted shifts

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 (8)

Hyponormality for commuting pairs of operators ⋮ Properties of mono-weakly hyponormal 2-variable weighted shifts ⋮ Subnormality for arbitrary powers of 2-variable weighted shifts whose restrictions to a large invariant subspace are tensor products ⋮ Flat phenomena of 2-variable weighted shifts ⋮ Aluthge transforms of 2-variable weighted shifts ⋮ When does the \(k\)-hyponormality of a 2-variable weighted shift become subnormality? ⋮ Propagation phenomena for mono-weakly hyponormal operator pairs ⋮ Schur product techniques for the subnormality of commuting 2-variable weighted shifts

Uses Software

• Mathematica

Cites Work

• Hyponormality and subnormality for powers of commuting pairs of subnormal operators
• Quadratically hyponormal weighted shifts
• Commuting subnormal operators
• Schur product techniques for commuting multivariable weighted shifts
• Disintegration of measures and contractive 2-variable weighted shifts
• Which weighted shifts are subnormal
• \(k\)-Hyponormality of multivariable weighted shifts
• DISINTEGRATION-OF-MEASURE TECHNIQUES FOR COMMUTING MULTIVARIABLE WEIGHTED SHIFTS
• Jointly hyponormal pairs of commuting subnormal operators need not be jointly subnormal
• Reconstruction of the Berger measure when the core is of tensor form
• On Joint Hyponormality of Operators
• A new criterion for $k$-hyponormality via weak subnormality
• Solution of the truncated complex moment problem for flat data
• Subnormal weighted shifts and the Halmos-Bram criterion
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