When is hyponormality for 2-variable weighted shifts invariant under powers?

DOI10.1512/iumj.2011.60.4303zbMath1252.47020arXiv1104.3604OpenAlexW2963921847MaRDI QIDQ2909238

Jasang Yoon, Raúl E. Curto

Publication date: 30 August 2012

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.3604

zbMATH Keywords

subnormaljointly hyponormal pairsgeneralized Hilbert matrix

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) Integration and disintegration of measures (28A50)

Related Items (13)

Polynomial embeddings of unilateral weighted shifts in 2-variable weighted shifts ⋮ Subnormality of 2-variable weighted shifts with diagonal core ⋮ Spherical Aluthge transform, sphericalpandlog-hyponormality of commuting pairs of operators ⋮ A new characterization of subnormality for a class of 2-variable weighted shifts with 1-atomic core ⋮ Hyponormality for commuting pairs of operators ⋮ Properties of mono-weakly hyponormal 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 ⋮ When does the \(k\)-hyponormality of a 2-variable weighted shift become subnormality? ⋮ Weakly \(k\)-hyponormal and polynomially hyponormal commuting operator pairs ⋮ Schur product techniques for the subnormality of commuting 2-variable weighted shifts

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