A Hilbert C*-module admitting no frames

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Li, Hanfeng
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Abstract
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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.
Comment: Minor change. To appear in Bull. Lond. Math. Soc
Keywords
Mathematics - Operator Algebras, Mathematics - Functional Analysis, 46L08
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