## Journal of Symbolic Logic

### Dividing in the algebra of compact operators

Alexander Berenstein

#### 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.

#### Article information

Source
J. Symbolic Logic, Volume 69, Issue 3 (2004), 817-829.

Dates
First available in Project Euclid: 4 October 2004

https://projecteuclid.org/euclid.jsl/1096901769

Digital Object Identifier
doi:10.2178/jsl/1096901769

Mathematical Reviews number (MathSciNet)
MR2078924

Zentralblatt MATH identifier
1070.03019

#### Citation

Berenstein, Alexander. Dividing in the algebra of compact operators. J. Symbolic Logic 69 (2004), no. 3, 817--829. doi:10.2178/jsl/1096901769. https://projecteuclid.org/euclid.jsl/1096901769

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