Geodesic
A HYPONORMAL TOEPLITZ COMPLETION PROBLEM
Glasgow mathematical journal, Tome 56 (2014) no. 1, pp. 1-8

Voir la notice de l'article provenant de la source Cambridge University Press

In this paper we consider the following ‘Toeplitz completion’ problem: Complete the unspecified analytic Toeplitz entries of the partial block Toeplitz matrix$\begin{linenomath}A:=\begin{bmatrix} T_{\overline\psi_1}& ?\\[4pt]\T_{\overline\psi_2} \end{bmatrix}\end{linenomath}$to make A hyponormal, where ψi∈H∞ is a non-constant rational function for i=1,2.
DOI : 10.1017/S0017089512000857
Mots-clés : 47A20, 47B20, 47B35 
HWANG, IN SUNG; KIM, AN HYUN. A HYPONORMAL TOEPLITZ COMPLETION PROBLEM. Glasgow mathematical journal, Tome 56 (2014) no. 1, pp. 1-8. doi: 10.1017/S0017089512000857
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     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089512000857/}
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[1] 1.Abrahamse, M. B., Subnormal Toeplitz operators and functions of bounded type, Duke Math. J. 43 (1976), 597–604. Google Scholar

[2] 2.Cowen, C., Hyponormality of Toeplitz operators, Proc. Amer. Math. Soc. 103 (1988), 809–812. Google Scholar | DOI

[3] 3.Curto, R. E., Hwang, I. S. and Lee, W. Y., Hyponormality and subnormality of block Toeplitz operators, Adv. Math. 230 (2012), 2094–2151. Google Scholar

[4] 4.Douglas, R. G., Banach algebra techniques in the theory of Toeplitz operators, CBMS 15 (Amer. Math. Soc., Providence, RI, 1973). Google Scholar | DOI

[5] 5.Gu, C., Hendricks, J. and Rutherford, D., Hyponormality of block Toeplitz operators, Pacific J. Math. 223 (2006), 95–111. Google Scholar

[6] 6.Gu, C. and Shapiro, J. E., Kernels of Hankel operators and hyponormality of Toeplitz operators, Math. Ann. 319 (2001), 553–572. Google Scholar

[7] 7.Hwang, I. S. and Lee, W. Y., Hyponormal Toeplitz operators with rational symbols, J. Operator Theory 56 (2006), 47–58. Google Scholar

[8] 8.Nakazi, T. and Takahashi, K., Hyponormal Toeplitz operators and extremal problems of Hardy spaces, Trans. Am. Math. Soc. 338 (1993), 753–769. Google Scholar | DOI

[9] 9.Peller, V. V., Hankel operators and their applications (Springer, New York, 2003). Google Scholar

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