A New Necessary Condition for the Hyponormality of Toeplitz Operators on the Bergman Space

zbMath1424.47066arXiv1610.09596MaRDI QIDQ4685135

Raúl E. Curto, Željko Čučković

Publication date: 5 October 2018

Full work available at URL: https://arxiv.org/abs/1610.09596

zbMATH Keywords

normalityBergman spaceToeplitz operatorscommutatorhyponormality

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Subnormal operators, hyponormal operators, etc. (47B20) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Commutators, derivations, elementary operators, etc. (47B47) Bergman spaces of functions in several complex variables (32A36)

Related Items (12)

On hyponormality on a weighted annulus ⋮ Necessary conditions for hyponormality of Toeplitz operators on the Bergman space ⋮ On hyponormality of Toeplitz operators ⋮ Complex symmetric Toeplitz operators on the weighted Bergman space ⋮ Hyponormal dual Toeplitz operators on the orthogonal complement of the harmonic Bergman space ⋮ Hyponormality on a weighted Bergman space ⋮ Remarks on hyponormal Toeplitz operators on the weighted Bergman spaces ⋮ Analogue of slant Hankel operators on the Lebesgue space of n-torus ⋮ Hyponormal Toeplitz operators on weighted Bergman spaces ⋮ Conjugations and complex symmetric Toeplitz operators on the weighted Hardy space ⋮ Hyponormal Toeplitz operators with non-harmonic algebraic symbol ⋮ Hyponormality of Toeplitz operators on the Bergman space of an annulus

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