2020•arXiv (Cornell University)Open access
Almost invariant subspaces of the shift operator on vector-valued Hardy\n spaces
Arup Chattopadhyay, Soma Das, Chandan Pradhan
Open full text 0 citations
Abstract
In this article, we characterize nearly invariant subspaces of finite defect\nfor the backward shift operator acting on the vector-valued Hardy space which\nis a vectorial generalization of a result of Chalendar-Gallardo-Partington\n(C-G-P). Using this characterization of nearly invariant subspace under the\nbackward shift we completely describe the almost invariant subspaces for the\nshift and its adjoint acting on the vector valued Hardy space.\n
Open-access reader