Subnormality for arbitrary powers of 2-variable weighted shifts whose restrictions to a large invariant subspace are tensor products

DOI10.1016/j.jfa.2011.09.024zbMath1273.47040arXiv1110.6611OpenAlexW2101267644MaRDI QIDQ656207

Jasang Yoon, Sang Hoon Lee, Raúl E. Curto

Publication date: 17 January 2012

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

Full work available at URL: https://arxiv.org/abs/1110.6611

zbMATH Keywords

tensor productweighted shiftshyponormal operatorssubnormal operators

Mathematics Subject Classification ID

Subnormal operators, hyponormal operators, etc. (47B20)

Related Items (7)

Subnormality of 2-variable weighted shifts with diagonal core ⋮ A new characterization of subnormality for a class of 2-variable weighted shifts with 1-atomic core ⋮ 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 ⋮ Module tensor product of subnormal modules need not be subnormal ⋮ Schur product techniques for the subnormality of commuting 2-variable weighted shifts

Uses Software

• Mathematica

Cites Work

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• Jointly hyponormal pairs of commuting subnormal operators need not be jointly subnormal
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• On Joint Hyponormality of Operators
• A Note on Joint Hyponormality
• Existence of non-subnormal polynomially hyponormal operators
• $k$-hyponormality of powers of weighted shifts via Schur products
• Subnormal weighted shifts and the Halmos-Bram criterion

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