On unitary equivalence of quasi-free Hilbert modules
Volume 195 / 2009
Studia Mathematica 195 (2009), 87-98
MSC: Primary 46E22.
DOI: 10.4064/sm195-1-5
Abstract
We characterize unitary equivalence of quasi-free Hilbert modules, which complements Douglas and Misra's earlier work [New York J. Math. 11 (2005)]. We first confine our arguments to the classical setting of reproducing Hilbert spaces and then relate our result to equivalence of Hermitian vector bundles.
