On unitary equivalence of quasi-free Hilbert modules

Li Chen

Studia Mathematica (2009)

  • Volume: 195, Issue: 1, page 87-98
  • ISSN: 0039-3223

Abstract

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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.

How to cite

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Li Chen. "On unitary equivalence of quasi-free Hilbert modules." Studia Mathematica 195.1 (2009): 87-98. <http://eudml.org/doc/285221>.

@article{LiChen2009,
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.},
author = {Li Chen},
journal = {Studia Mathematica},
keywords = {analytic Hilbert module; Hermitian vector bundle; unitary equivalence},
language = {eng},
number = {1},
pages = {87-98},
title = {On unitary equivalence of quasi-free Hilbert modules},
url = {http://eudml.org/doc/285221},
volume = {195},
year = {2009},
}

TY - JOUR
AU - Li Chen
TI - On unitary equivalence of quasi-free Hilbert modules
JO - Studia Mathematica
PY - 2009
VL - 195
IS - 1
SP - 87
EP - 98
AB - 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.
LA - eng
KW - analytic Hilbert module; Hermitian vector bundle; unitary equivalence
UR - http://eudml.org/doc/285221
ER -

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