Doubly commuting submodules of the Hardy module over polydiscs
Functional Analysis
2013-09-24 v3 Complex Variables
Operator Algebras
Abstract
In this note we establish a vector-valued version of Beurling's Theorem (the Lax-Halmos Theorem) for the polydisc. As an application of the main result, we provide necessary and sufficient conditions for the completion problem in .
Cite
@article{arxiv.1302.5312,
title = {Doubly commuting submodules of the Hardy module over polydiscs},
author = {Jaydeb Sarkar and Amol Sasane and Brett D. Wick},
journal= {arXiv preprint arXiv:1302.5312},
year = {2013}
}
Comments
14 pages, revised, to appear in Studia Mathematica