On quasi-free Hilbert modules

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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.
17 pages

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Functional Analysis, Complex Variables, Spectral Theory, 46E22, 46M20, 47B32

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http://salesiana.dossiersoluciones.com/handle/123456789/72415

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0409138
 http://arxiv.org/abs/math/0409138

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arXiv