Restriction of Toeplitz Operators on Their Reducing Subspaces

We study the restrictions of analytic Toeplitz operator on its minimal reducing subspaces for the unit disc and construct their models on slit domains. Furthermore, it is shown that Tzn is similar to the sum of n copies of the Bergman shift.

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Bibliographic Details
Main Authors: Anjian Xu, Yang Zou
Format: Article
Language:English
Published: Wiley 2017-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2017/2190418
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Summary:We study the restrictions of analytic Toeplitz operator on its minimal reducing subspaces for the unit disc and construct their models on slit domains. Furthermore, it is shown that Tzn is similar to the sum of n copies of the Bergman shift.
ISSN:2314-8896
2314-8888