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.
Citation
Alexander Berenstein. "Dividing in the algebra of compact operators." J. Symbolic Logic 69 (3) 817 - 829, September 2004. https://doi.org/10.2178/jsl/1096901769
Information
Published: September 2004
First available in Project Euclid: 4 October 2004
zbMATH: 1070.03019
MathSciNet: MR2078924
Digital Object Identifier: 10.2178/jsl/1096901769
Rights: Copyright © 2004 Association for Symbolic Logic