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/