Approximation of Invariant Subspaces in Some Dirichlet-Type Spaces |
| |
Authors: | Faruk Yilmaz |
| |
Institution: | 1.Department of Mathematics,University of Tennessee,Knoxville,USA |
| |
Abstract: | The Hilbert space \(\mathcal {D}_{2}\) is the space of all holomorphic functions f defined on the open unit disc \(\mathbb {D}\) such that \({f}^{'}\) is in the Hardy Hilbert space \(\mathbf {H}^2.\) In this paper, we prove that the invariant subspaces of \(\mathcal {D}_{2}\) with respect to multiplication operator \(M_{z}\) can be approximated with finite co-dimensional invariant subspaces. We also obtain a partial result in this direction for the classical Dirichlet space. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|