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THE FINITE SUM OF THE PRODUCTS OF TWO TOEPLITZ OPERATORS
XUANHAO DING
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Source: Crossref
Published: Feb 1, 2009
DOI: 10.1017/s1446788708000128
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Abstract We consider in this paper the question of when the finite sum of products of two Toeplitz operators is a finite-rank perturbation of a single Toeplitz operator on the Hardy space over the unit disk. A necessary condition is found. As a consequence we obtain a necessary and sufficient condition for the product of three Toeplitz operators to be a finite-rank perturbation of a single Toeplitz operator.
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