A Beurling Theorem for almost-invariant subspaces of the shift operator
Functional Analysis
2019-05-21 v2 Complex Variables
Abstract
A complete characterization of nearly-invariant subspaces of finite defect for the backward shift operator acting on the Hardy space is provided in the spirit of Hitt and Sarason's theorem. As a corollary we describe the almost-invariant subspaces for the shift and its adjoint.
Cite
@article{arxiv.1905.06652,
title = {A Beurling Theorem for almost-invariant subspaces of the shift operator},
author = {Isabelle Chalendar and Eva A. Gallardo-Gutiérrez and Jonathan R. Partington},
journal= {arXiv preprint arXiv:1905.06652},
year = {2019}
}
Comments
11 pages. Revised version. To appear in J. Operator Theory