Hyponormal Toeplitz Operators and Extremal Problems of Hardy Spaces

DOI10.2307/2154427zbMath0798.47018OpenAlexW183592275MaRDI QIDQ3137497

Takahiko Nakazi, Katsutoshi Takahashi

Publication date: 3 November 1993

Full work available at URL: https://doi.org/10.2307/2154427

zbMATH Keywords

hyponormal Toeplitz operatorskernel of the selfcommutator of a Toeplitz operatorsymbols of normal Toeplitz operatorsToeplitz operators acting on classical Hardy space

Mathematics Subject Classification ID

Related Items (36)

Hyponormal Toeplitz operators on the polydisk ⋮ (m, C)-Isometric Toeplitz operators with rational symbols ⋮ On a class of jointly hyponormal Toeplitz operators ⋮ Hyponormal Toeplitz operators with polynomial symbols ⋮ Triangular Toeplitz contractions and Cowen sets for analytic polynomials ⋮ Unnamed Item ⋮ Normal singular Cauchy integral operators with operator-valued symbols ⋮ Hyponormal block Toeplitz operators and the Carathéodory interpolation problems ⋮ Toeplitz operators hyponormal with the unilateral shift ⋮ Hyponormality of Toeplitz operators with polynomial symbols on the weighted Bergman space ⋮ On hyponormal Toeplitz operators with polynomial and circulant-type symbols ⋮ Hyponormal Toeplitz operators with matrix-valued circulant symbols ⋮ A Subnormal Toeplitz Completion Problem ⋮ Hyponormal dual Toeplitz operators on the orthogonal complement of the harmonic Bergman space ⋮ Cowen sets for Toeplitz operators ⋮ Hyponormal Toeplitz operators and zeros of polynomials ⋮ A criterion on the hyponormality of Toeplitz operators with polynomial symbols via Schur numbers ⋮ A remark on hyponormality of block Toeplitz operators on the weighted Bergman spaces ⋮ 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 ⋮ Subnormal and quasinormal Toeplitz operators with matrix-valued rational symbols ⋮ The Beurling-Lax-Halmos theorem for infinite multiplicity ⋮ Normal singular integral operators with Cauchy kernel on \(L^2\) ⋮ Hyponormality of Toeplitz operators with generalized circulant symbols ⋮ Factorizations of outer functions and extremal problems ⋮ Which subnormal Toeplitz operators are either normal or analytic? ⋮ A gap between hyponormality and subnormality for block Toeplitz operators ⋮ Hyponormality of Toeplitz operators with rational symbols ⋮ Hyponormality of trigonometric Toeplitz operators ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On hyponormal Toeplitz operators with polynomial and symmetric-type symbols ⋮ Hyponormality and spectra of Toeplitz operators ⋮ Matrix Functions of Bounded Type: An Interplay Between Function Theory and Operator Theory ⋮ Subnormal Toeplitz operators and the kernels of their self-commutators

Cites Work

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• Subnormal Toeplitz operators and functions of bounded type
• Absolute Values of Toeplitz Operators and Hankel Operators
• Intersection of Two Invariant Subspaces
• Hyponormality of Toeplitz Operators
• On Quasinormal Toeplitz Operators
• The Essential Spectrum of Some Toeplitz Operators
• Shorter Notes: Positive H 1/2 Functions are Constants
• Ten problems in Hilbert space
• Subnormality and Quasinormality of Toeplitz Operators

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