Almost invariant subspaces of the shift operator on vector-valued Hardy spaces
Functional Analysis
2020-05-08 v2
Abstract
In this article, we characterize nearly invariant subspaces of finite defect for the backward shift operator acting on the vector-valued Hardy space which is a vectorial generalization of a result of Chalendar-Gallardo-Partington (C-G-P). Using this characterization of nearly invariant subspace under the backward shift we completely describe the almost invariant subspaces for the shift and its adjoint acting on the vector valued Hardy space.
Keywords
Cite
@article{arxiv.2005.02243,
title = {Almost invariant subspaces of the shift operator on vector-valued Hardy spaces},
author = {Arup Chattopadhyay and Soma Das and Chandan Pradhan},
journal= {arXiv preprint arXiv:2005.02243},
year = {2020}
}
Comments
13 pages, Submitted for publication