A Coburn type theorem for Toeplitz operators on the Dirichlet space |
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| Authors: | Young Joo Lee |
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| Institution: | Department of Mathematics, Chonnam National University, Gwangju 500-757, Republic of Korea |
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| 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. |
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| Keywords: | Toeplitz operator Dirichlet space Coburn's theorem |
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