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Some remarks on the operator of Foias and Williams |
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| Authors: | Srdjan Petrovic |
| Affiliation: | Department of Mathematics, Indiana University, Bloomington, Indiana 47405 |
| Abstract: | In this paper we study the Foias-Williams operator
where |
| Keywords: | Polynomially bounded operators similarity to contractions |
| 点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息 | |
| 点击此处可从《Proceedings of the American Mathematical Society》下载全文 | |
, and 
is a Hankel operator with symbol 
. We exhibit a relationship between the similarity of 
to a contraction and the rate of decay of 
, the absolute values of the Fourier coefficients of the symbol 
.