Hyponormality and subnormality for powers of commuting pairs of subnormal operators

DOI10.1016/j.jfa.2007.01.002zbMath1124.47015arXivmath/0610888OpenAlexW2106573031MaRDI QIDQ883500

Sang Hoon Lee, Jasang Yoon, Raúl E. Curto

Publication date: 4 June 2007

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

Full work available at URL: https://arxiv.org/abs/math/0610888

zbMATH Keywords

2-variable weighted shiftssubnormal pairsjointly hyponormal pairspowers of commuting pairs of subnormal operators

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)

Related Items (21)

Recursiveness and propagation for 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 ⋮ Converse of Fuglede Theorem ⋮ Commuting tuples of normal operators in Hilbert spaces ⋮ 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 ⋮ Weakly \(k\)-hyponormal and polynomially hyponormal commuting operator pairs ⋮ Berger measure for \(S(a,b,c,d)\) ⋮ Subnormal \(n\)th roots of quasinormal operators are quasinormal ⋮ Joint normality of operators in semi-Hilbertian spaces ⋮ Schur product techniques for the subnormality of commuting 2-variable weighted shifts

Uses Software

• Mathematica

Cites Work

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• Quadratically hyponormal weighted shifts
• Commuting subnormal operators
• Schur product techniques for commuting multivariable weighted shifts
• Hyponormal operators
• Which weighted shifts are subnormal
• \(k\)-Hyponormality of multivariable weighted shifts
• Subnormal operators
• Joint hyponormality of Toeplitz pairs
• DISINTEGRATION-OF-MEASURE TECHNIQUES FOR COMMUTING MULTIVARIABLE WEIGHTED SHIFTS
• Jointly hyponormal pairs of commuting subnormal operators need not be jointly subnormal
• On Joint Hyponormality of Operators
• Subnormal weighted shifts and the Halmos-Bram criterion

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