A characterization of compact perturbations of Toeplitz operators

Jingbo Xia

doi:10.1090/S0002-9947-09-04736-9

A characterization of compact perturbations of Toeplitz operators

Jingbo Xia

Mathematics

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

Let X be a bounded operator on the Hardy space H² of the unit circle. It has been a longstanding problem to determine whether the condition that T_ūXT_u - X is compact for every inner function u implies that X is a compact perturbation of a Toeplitz operator. We show that the answer is affirmative.

Original language	English
Pages (from-to)	5163-5175
Number of pages	13
Journal	Transactions of the American Mathematical Society
Volume	361
Issue number	10
DOIs	https://doi.org/10.1090/S0002-9947-09-04736-9
State	Published - Oct 2009

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A characterization of compact perturbations of Toeplitz operators

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