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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm195-1-5, author = {Li Chen}, title = {On unitary equivalence of quasi-free Hilbert modules}, journal = {Studia Mathematica}, volume = {192}, year = {2009}, pages = {87-98}, zbl = {1192.46024}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm195-1-5} }
Li Chen. On unitary equivalence of quasi-free Hilbert modules. Studia Mathematica, Tome 192 (2009) pp. 87-98. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm195-1-5/