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Showing 1 to 2 of 2 for “"Weighted Shift"”.
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Structure of Invariant Subspaces for Left-Invertible Operators on Hilbert Space
… the invariant subspaces of left-invertible, weighted shifts, with generalizations to left-invertible operators where applicable. The two main problems that are researched can be stated together as When does a weighted shift have the one-dimensional wandering subspace property for all of its …
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A class of weighted Bergman spaces, reducing subspaces for multiple weighted shifts, and dilatable operators
… In Chapter 2 we will introduce a class of weighted Bergman spaces. We then will discuss some properties about the multiplication operator, Mz , on them. We also characterize the dual spaces of these weighted Bergman spaces. In Chapter 3 we will characterize the reducing subspaces of …