Backward Shift Invariant Subspaces in Reproducing Kernel Hilbert Spaces
Functional Analysis
2019-04-08 v2
Abstract
In this note, we describe the backward shift invariant subspaces for a large class of reproducing kernel Hilbert spaces. This class includes in particular de Branges-Rovnyak spaces (the non-extreme case) and the range space of co-analytic Toeplitz operators.
Keywords
Cite
@article{arxiv.1709.09396,
title = {Backward Shift Invariant Subspaces in Reproducing Kernel Hilbert Spaces},
author = {Emmanuel Fricain and Javad Mashreghi and Rishika Rupam},
journal= {arXiv preprint arXiv:1709.09396},
year = {2019}
}
Comments
18 pages. To appear in Mathematica Scandinavica