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arXiv · 0811.1535

A Hilbert C*-module admitting no frames

Hanfeng Li
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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.

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Hanfeng Li. 2009-09-29. A Hilbert C*-module admitting no frames. https://doi.org/10.1112/blms%2Fbdp109

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