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Dividing in the algebra of compact operators

Published online by Cambridge University Press:  12 March 2014

Alexander Berenstein
Alexander Berenstein*
Affiliation:
Department of Mathematics, University of Illinois at Urbana-Champaign, 1409 West Green Street, Urbana, IL 61801-2975., USA, E-mail: [email protected]
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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.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 69 , Issue 3 , September 2004 , pp. 817 - 829
Copyright
Copyright © Association for Symbolic Logic 2004

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References

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