Variations on a theme of Beurling
Functional Analysis
2010-09-23 v1 Spectral Theory
Abstract
Interpretations of the Beurling-Lax-Halmos Theorem on invariant subspaces of the unilateral shift are explored using the language of Hilbert modules. Extensions and consequences are considered in both the one and multivariate cases with an emphasis on the classical Hardy, Bergman and Drury-Arveson spaces.
Keywords
Cite
@article{arxiv.1009.4427,
title = {Variations on a theme of Beurling},
author = {Ronald G. Douglas},
journal= {arXiv preprint arXiv:1009.4427},
year = {2010}
}