Jointly hyponormal pairs of commuting subnormal operators need not be jointly subnormal

DOI10.1090/S0002-9947-06-03911-0zbMath1115.47020arXivmath/0405587OpenAlexW1593313199MaRDI QIDQ3420359

Jasang Yoon, Raúl E. Curto

Publication date: 1 February 2007

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0405587

zbMATH Keywords

subnormal pairsjointly 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 (31)

Polynomial embeddings of unilateral weighted shifts in 2-variable weighted shifts ⋮ Berger measure for some transformations of subnormal weighted shifts ⋮ Recursiveness and propagation for 2-variable weighted shifts ⋮ Schur product techniques for commuting multivariable weighted shifts ⋮ Subnormality of 2-variable weighted shifts with diagonal core ⋮ Solution of the reconstruction-of-the-measure problem for canonical invariant subspaces ⋮ Fredholmness of Toeplitz operators on generalized Hardy spaces over the polydisc ⋮ Spectral pictures of 2-variable weighted shifts ⋮ Toral and spherical Aluthge transforms of 2-variable weighted shifts ⋮ Hyponormality and subnormality for powers of commuting pairs of subnormal operators ⋮ A new characterization of subnormality for a class of 2-variable weighted shifts with 1-atomic core ⋮ The spectral picture and joint spectral radius of the generalized spherical Aluthge transform ⋮ An answer to a question of A.\,Lubin: the lifting problem for commuting subnormals ⋮ \(C^\ast\)-algebras generated by a system of unilateral weighted shifts and their application ⋮ Spherical mean transform of operator pairs ⋮ Subnormality of Aluthge transforms of weighted shifts ⋮ Properties of mono-weakly hyponormal 2-variable weighted shifts ⋮ One-step extensions of subnormal 2-variable weighted shifts ⋮ Generalized Cauchy-Hankel matrices and their applications to subnormal operators ⋮ Subnormality of powers of multivariable 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 ⋮ Which 2-hyponormal 2-variable weighted shifts are subnormal? ⋮ Aluthge transforms of 2-variable weighted shifts ⋮ When does the \(k\)-hyponormality of a 2-variable weighted shift become subnormality? ⋮ Quasinormality of powers of commuting pairs of bounded operators ⋮ Berger measure for \(S(a,b,c,d)\) ⋮ A new approach to the 2-variable subnormal completion problem ⋮ \(k\)-Hyponormality of multivariable weighted shifts ⋮ Schur product techniques for the subnormality of commuting 2-variable weighted shifts ⋮ Weighted shifts on directed trees

Uses Software

• Mathematica

Cites Work

• Quadratically hyponormal weighted shifts
• Recursively generated weighted shifts and the subnormal completion problem
• Recursively generated weighted shifts and the subnormal completion problem. II
• Towards a model theory for 2-hyponormal operators.
• Which weighted shifts are subnormal
• On Joint Hyponormality of Operators
• Solution of the truncated complex moment problem for flat data
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Jointly hyponormal pairs of commuting subnormal operators need not be jointly subnormal