Dividing in the algebra of compact operators

Journal of Symbolic Logic 69 (3):817-829 (2004)
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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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10.2178/jsl/1096901769

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References found in this work

Positive model theory and compact abstract theories.Itay Ben-Yaacov - 2003 - Journal of Mathematical Logic 3 (01):85-118.
Simplicity in compact abstract theories.Itay Ben-Yaacov - 2003 - Journal of Mathematical Logic 3 (02):163-191.
Simple stable homogeneous expansions of Hilbert spaces.Alexander Berenstein & Steven Buechler - 2004 - Annals of Pure and Applied Logic 128 (1-3):75-101.
Imaginaries in Hilbert spaces.Itay Ben-Yaacov & Alexander Berenstein - 2004 - Archive for Mathematical Logic 43 (4):459-466.

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