Towards a model theory for 2-hyponormal operators.

DOI10.1007/BF01212035zbMath1052.47016OpenAlexW2030217937MaRDI QIDQ1865912

Woo Young Lee, Raúl E. Curto

Publication date: 2002

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01212035

zbMATH Keywords

subnormal operators\(k\)-hyponormal operatorsweakly subnormal operators

Mathematics Subject Classification ID

Subnormal operators, hyponormal operators, etc. (47B20) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Software, source code, etc. for problems pertaining to operator theory (47-04)

Related Items (18)

A characterization of \(k\)-hyponormality via weak subnormality. ⋮ $k$-hyponormality of finite rank perturbations of unilateral weighted shifts ⋮ Taylor spectrum approach to Brownian-type operators with quasinormal entry ⋮ A Subnormal Toeplitz Completion Problem ⋮ A criterion on the hyponormality of Toeplitz operators with polynomial symbols via Schur numbers ⋮ Hyponormality and subnormality of block Toeplitz operators ⋮ Subnormal and quasinormal Toeplitz operators with matrix-valued rational symbols ⋮ A new criterion for $k$-hyponormality via weak subnormality ⋮ A gap between hyponormality and subnormality for block Toeplitz operators ⋮ Hyponormal operators with rank-two self-commutators ⋮ WEAKLY SUBNORMAL WEIGHTED SHIFTS NEED NOT BE 2-HYPONORMAL ⋮ Some examples of extremal triples of commuting contractions ⋮ Weak subnormality of infinite 4-banded matrices ⋮ Matrix Functions of Bounded Type: An Interplay Between Function Theory and Operator Theory ⋮ A relationship: subnormal, polynomially hyponormal and semi-weakly hyponormal weighted shifts ⋮ Jointly hyponormal pairs of commuting subnormal operators need not be jointly subnormal ⋮ Quartically hyponormal weighted shifts need not be 3-hyponormal ⋮ \(k\)-Hyponormality of multivariable weighted shifts

Uses Software

• Mathematica

Cites Work

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• Subnormal operators with compact selfcommutator
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• On pure subnormal operators with finite rank self-commutators and related operator tuples
• Model theory for hyponormal contractions
• Which weighted shifts are subnormal
• Subnormal operators
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• Operator theory and algebraic geometry
• On Joint Hyponormality of Operators
• A Note on Joint Hyponormality
• Existence of non-subnormal polynomially hyponormal operators
• Invertible completions of $2\times 2$ upper triangular operator matrices
• A Note on Hyponormal Weighted Shifts
• Linear Operator Equations
• Ten problems in Hilbert space

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