A Hilbert C*-module admitting no frames
Operator Algebras
2014-02-26 v3 Functional Analysis
Abstract
We show that every infinite-dimensional commutative unital C*-algebra has a Hilbert C*-module admitting no frames. In particular, this shows that Kasparov's stabilization theorem for countably generated Hilbert C*-modules can not be extended to arbitrary Hilbert C*-modules.
Keywords
Cite
@article{arxiv.0811.1535,
title = {A Hilbert C*-module admitting no frames},
author = {Hanfeng Li},
journal= {arXiv preprint arXiv:0811.1535},
year = {2014}
}
Comments
Minor change. To appear in Bull. Lond. Math. Soc