Compact operators on Hilbert modules

  • Anoussis M
  • Todorov I
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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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APA

Anoussis, M., & Todorov, I. (2004). Compact operators on Hilbert modules. Proceedings of the American Mathematical Society, 133(1), 257–261. https://doi.org/10.1090/s0002-9939-04-07591-4

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