A criterion on the hyponormality of Toeplitz operators with polynomial symbols via Schur numbers

DOI10.1016/j.laa.2011.12.032zbMath1251.47028OpenAlexW2053031908MaRDI QIDQ417495

Woo Young Lee, Dong-O. Kang

Publication date: 14 May 2012

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2011.12.032

zbMATH Keywords

trigonometric polynomialsToeplitz operatorsToeplitz matricesCarathéodory interpolation problemhyponormalSchur numbers

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Subnormal operators, hyponormal operators, etc. (47B20) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Linear operator methods in interpolation, moment and extension problems (47A57) Toeplitz, Cauchy, and related matrices (15B05)

Related Items (1)

Hyponormality of Toeplitz operators with polynomial symbols on the vector valued Bergman space

Cites Work

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• Triangular Toeplitz contractions and Cowen sets for analytic polynomials
• Hyponormality and spectra of Toeplitz operators
• Kernels of Hankel operators and hyponormality of Toeplitz operators

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