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Reducing Subspaces of Toeplitz Operators on Nψ-type Quotient Modules on the Torus |
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| Authors: | WU YAN XU XIAN-MIN Ji You-qing |
| Abstract: | In this paper, we prove that the Toeplitz operator with finite Blaschke product symbol Sψ(z) on Nψhas at least m non-trivial minimal reducing subspaces, of Sψ(z) on any of these minimal reducing subspaces is unitary equivalent to the Bergman shift Mz. |
| Keywords: | module the analytic Toeplitz operator reducing subspace finite Blaschke product |
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