A Hilbert C*-module admitting no frames

Details A Hilbert C*-module admitting no frames A Hilbert C*-module admitting no frames

2008-11-10

arxiv.org/abs/0811.1535v3

Bull. Lond. Math. Soc. 42 (2010), no. 3, 388--394

Mathematics

Operator Algebras

Minor change. To appear in Bull. Lond. Math. Soc

Scientific paper

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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