2004/09/08 by Ronald G. Douglas, Douglas, Ronald G., Gadadhar Misra +1 · 1 citation
Mathematics · #46E22 #46M20 #47B32 #Advanced Operator Algebra Research #Advanced Topics in Algebra #Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Spectral Theory (math.SP) #math.CV #math.FA #math.SP #msc:46E22 #msc:46M20 #msc:47B32
paper · pdf · doi:10.48550/arxiv.math/0409138
17 pages
arxiv created 2004/09/08 · openalex publication_date 2004/09/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.