On quasi-free Hilbert modules

Douglas, Ronald G. ; Misra, Gadadhar (2005) On quasi-free Hilbert modules The New York Journal of Mathematics, 11 . pp. 547-561. ISSN 1076-9803

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Official URL: http://www.emis.ams.org/journals/NYJM/j/2005/11-26...


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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Source:Copyright of this article belongs to State University of New York at Albany.
ID Code:20572
Deposited On:20 Nov 2010 14:17
Last Modified:17 May 2016 04:52

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