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The finite rank perturbations of the product of Hankel and Toeplitz operators
Authors:Xuanhao Ding
Affiliation:College of Science, Chong Qing Technology and Business University, Chong Qing 400067, PR China
Abstract:In this paper we completely characterize when the product of a Hankel operator and a Toeplitz operator on the Hardy space is a finite rank perturbation of a Hankel operator, and when the commutator of a Hankel operator and a Toeplitz operators has finite rank.
Keywords:Toeplitz operators  Hankel operators  Finite rank operators
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