On quasi-free Hilbert modules

Details On quasi-free Hilbert modules On quasi-free Hilbert modules

2004-09-08

arxiv.org/abs/math/0409138v1

Mathematics

Functional Analysis

17 pages

Scientific paper

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.

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