Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Some remarks on the operator
of Foias and Williams

Author: Srdjan Petrovic
Journal: Proc. Amer. Math. Soc. 124 (1996), 2807-2811
MSC (1991): Primary 47A20; Secondary 47B35
MathSciNet review: 1342040
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 47A20, 47B35

Retrieve articles in all journals with MSC (1991): 47A20, 47B35

Additional Information

Srdjan Petrovic
Affiliation: Department of Mathematics, Indiana University, Bloomington, Indiana 47405

Keywords: Polynomially bounded operators, similarity to contractions
Received by editor(s): March 21, 1995
Communicated by: Palle E. T. Jorgensen
Article copyright: © Copyright 1996 American Mathematical Society