Inner products and module maps of Hilbert C*-modules

Ming-Hsiu Hsu Ngai-Ching Wong

Functional Analysis mathscidoc:1910.43713

arXiv preprint arXiv:1402.6424, 2014.2
Let E and E be two Hilbert E -modules over E -algebras E and E , respectively. Let E be a surjective linear isometry from E onto E and E a map from E into E . We will prove in this paper that if the E -algebras E and E are commutative, then E preserves the inner products and E is a module map, ie, there exists a E -isomorphism E between the E -algebras such that <div class="gsh_dspfr"> E
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  title={Inner products and module maps of Hilbert C*-modules},
  author={Ming-Hsiu Hsu, and Ngai-Ching Wong},
  booktitle={arXiv preprint arXiv:1402.6424},
Ming-Hsiu Hsu, and Ngai-Ching Wong. Inner products and module maps of Hilbert C*-modules. 2014. In arXiv preprint arXiv:1402.6424.
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