On quasi-free Hilbert modules
Functional Analysis
2007-05-23 v1 Complex Variables
Spectral Theory
Abstract
In this note we settle some technical questions concerning finite rank quasi-free Hilbert modules and develop some useful machinery. In particular, we provide a method for determining when two such modules are unitarily equivalent. Along the way we obtain representations for module maps and study how to determine the underlying holomorphic structure on such modules.
Keywords
Cite
@article{arxiv.math/0409138,
title = {On quasi-free Hilbert modules},
author = {Ronald G. Douglas and Gadadhar Misra},
journal= {arXiv preprint arXiv:math/0409138},
year = {2007}
}
Comments
17 pages