A generalization of Cowen's characterization of hyponormal Toeplitz operators

DOI10.1006/JFAN.1994.1102zbMath0815.47029OpenAlexW2066832042MaRDI QIDQ1331656

Caixing Gu

Publication date: 11 June 1995

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

Full work available at URL: https://doi.org/10.1006/jfan.1994.1102

zbMATH Keywords

Hankel operatorscommutant lifting approachhyponormality of Toeplitz operatorsrange inclusion of Hankel and Toeplitz operators

Mathematics Subject Classification ID

Subnormal operators, hyponormal operators, etc. (47B20) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35)

Related Items (18)

Hyponormal Toeplitz operators on the polydisk ⋮ On a class of jointly hyponormal Toeplitz operators ⋮ Unnamed Item ⋮ Normal singular Cauchy integral operators with operator-valued symbols ⋮ On hyponormal Toeplitz operators with polynomial and circulant-type symbols ⋮ Hyponormal Toeplitz operators with matrix-valued circulant symbols ⋮ A Subnormal Toeplitz Completion Problem ⋮ A criterion on the hyponormality of Toeplitz operators with polynomial symbols via Schur numbers ⋮ Recent developments in the interplay between function theory and operator theory for block Toeplitz, Hankel, and model operators ⋮ Hyponormality and subnormality of block Toeplitz operators ⋮ Hyponormality of Toeplitz operators in several variables by the weighted shifts approach ⋮ The Beurling-Lax-Halmos theorem for infinite multiplicity ⋮ Binormal Toeplitz operators on the Hardy space ⋮ Which subnormal Toeplitz operators are either normal or analytic? ⋮ Hyponormality of Toeplitz operators with rational symbols ⋮ Hyponormality of trigonometric Toeplitz operators ⋮ Matrix Functions of Bounded Type: An Interplay Between Function Theory and Operator Theory ⋮ Invariant subspaces of the direct sum of forward and backward shifts on vector-valued Hardy spaces

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