A Hilbert C*-module admitting no frames

Li, Hanfeng
June 2010
Bulletin of the London Mathematical Society;Jun2010, Vol. 42 Issue 3, p388
Academic Journal
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 cannot be extended to arbitrary Hilbert C*-modules.


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