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Physical Sciences and Engineering Mathematics Analysis

A Coburn type theorem for Toeplitz operators on the Dirichlet space

Article ID Journal Published Year Pages File Type
4616188 Journal of Mathematical Analysis and Applications 2014 6 Pages PDF
Abstract

A celebrated theorem of Coburn asserts that, on the setting of the Hardy space, if a Toeplitz operator is nonzero, then either it is one-to-one or its adjoint operator is one-to-one. In this paper, we show that an analogous result holds for Toeplitz operators acting on the Dirichlet space.

Keywords
Toeplitz operatorDirichlet space
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Preview
A Coburn type theorem for Toeplitz operators on the Dirichlet space
Authors
Young Joo Lee,
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Journal
Journal of Mathematical Analysis and Applications
Journal: Journal of Mathematical Analysis and Applications
Related Categories
Toeplitz operator
Dirichlet space
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