Compact operators on Hilbert modules

Anoussis, M.; Todorov, I.

doi:10.1090/S0002-9939-04-07591-4

Compact operators on Hilbert modules
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by M. Anoussis and I. G. Todorov PDF

Proc. Amer. Math. Soc. 133 (2005), 257-261 Request permission

Abstract:

We prove that an adjointable contraction acting on a countably generated Hilbert module over a separable unital C*-algebra is compact if and only if the set of its second contractive perturbations is separable.

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