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Reducing subspaces of multiplication operators on function spaces |
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| Authors: | Kun-yu Guo Han-song Huang |
| Institution: | 1. School of Mathematical Sciences, Fudan University, Shanghai, 200433, China 2. Department of Mathematics, East China University of Science and Technology, Shanghai, 200237, China |
| Abstract: | This survey presents the brief history and recent development on commutants and reducing subspaces of multiplication operators on both the Hardy space and the Bergman space, and von Neumann algebras generated by multiplication operators on the Bergman space. |
| Keywords: | reducing subspace commutant von Neumann algebra Blaschke product holomorphic covering map |
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