Some remarks on the operator of Foias and Williams
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- by Srdjan Petrovic
- Proc. Amer. Math. Soc. 124 (1996), 2807-2811
- DOI: https://doi.org/10.1090/S0002-9939-96-03459-4
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Abstract:
In this paper we study the Foias-Williams operator \begin{equation*}T(H_{g})=\begin {pmatrix}S^{*} & H_{g} \ 0 & S \end{pmatrix} \end{equation*} where $g\in L^{\infty }$, and $H_{g}$ is a Hankel operator with symbol $g$. We exhibit a relationship between the similarity of $T(H_{g})$ to a contraction and the rate of decay of $\{|g_{n}|\}_{n=0}^{\infty }$, the absolute values of the Fourier coefficients of the symbol $g$.References
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Bibliographic Information
- Srdjan Petrovic
- Affiliation: Department of Mathematics, Indiana University, Bloomington, Indiana 47405
- Email: petrovic@iu-math.math.indiana.edu
- Received by editor(s): March 21, 1995
- Communicated by: Palle E. T. Jorgensen
- © Copyright 1996 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 124 (1996), 2807-2811
- MSC (1991): Primary 47A20; Secondary 47B35
- DOI: https://doi.org/10.1090/S0002-9939-96-03459-4
- MathSciNet review: 1342040