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Dividing in the Algebra of Compact Operators

Alexander Berenstein
The Journal of Symbolic Logic
Vol. 69, No. 3 (Sep., 2004), pp. 817-829
Stable URL: http://www.jstor.org/stable/30041760
Page Count: 13
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Dividing in the Algebra of Compact Operators
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Abstract

We interpret the algebra of finite rank operators as imaginaries inside a Hilbert space. We prove that the Hilbert space enlarged with these imaginaries has built-in canonical bases.

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