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Compact operators on Hilbert modules |
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| Authors: | M Anoussis I G Todorov |
| Institution: | Department of Mathematics, University of the Aegean, 832 00 Karlovassi, Samos, Greece ; Department of Mathematics, University of the Aegean, 832 00 Karlovassi, Samos, Greece |
| 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. |
| Keywords: | Contractive perturbations compact operators Hilbert modules |
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