Dividing in the algebra of compact operators

Journal of Symbolic Logic 69 (3):817-829 (2004)
  Copy   BIBTEX

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.

Categories

Keywords

Reprint years

DOI

10.2178/jsl/1096901769

Other Versions

No versions found

Links

PhilArchive

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

My notes

Similar books and articles

Constructive compact operators on a Hilbert space.Hajime Ishihara - 1991 - Annals of Pure and Applied Logic 52 (1-2):31-37.
Hilbert Algebras with Hilbert-Galois Connections II.Sergio A. Celani & Daniela Montagie - 2024 - Bulletin of the Section of Logic 53 (4):535-554.
Computability of compact operators on computable Banach spaces with bases.Vasco Brattka & Ruth Dillhage - 2007 - Mathematical Logic Quarterly 53 (4‐5):345-364.
Some Calkin algebras have outer automorphisms.Ilijas Farah, Paul McKenney & Ernest Schimmerling - 2013 - Archive for Mathematical Logic 52 (5):517-524.
Imaginaries in Hilbert spaces.Itay Ben-Yaacov & Alexander Berenstein - 2004 - Archive for Mathematical Logic 43 (4):459-466.
Definable Operators on Hilbert Spaces.Isaac Goldbring - 2012 - Notre Dame Journal of Formal Logic 53 (2):193-201.
The logic of quantum systems with diagonal singularities.I. Antoniou & Z. Suchanecki - 1994 - Foundations of Physics 24 (10):1439-1457.
A Finite Hilbert‐Style Axiomatization of the Implication‐Less Fragment of the Intuitionistic Propositional Calculus.Jordi Rebagliato & Ventura Verdú - 1994 - Mathematical Logic Quarterly 40 (1):61-68.
The model theory of modules of a C*-algebra.Camilo Argoty - 2013 - Archive for Mathematical Logic 52 (5-6):525-541.
Considerable Sets of Linear Operators in Hilbert Spaces as Operator Generalized Effect Algebras.Jan Paseka & Zdenka Riečanová - 2011 - Foundations of Physics 41 (10):1634-1647.

Analytics

Added to PP
2009-02-05

Downloads
323 (#138,444)

6 months
17 (#661,872)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

No citations found.

Add more citations

References found in this work

Positive model theory and compact abstract theories.Itay Ben-Yaacov - 2003 - Journal of Mathematical Logic 3 (1):85-118.
Simplicity in compact abstract theories.Itay Ben-Yaacov - 2003 - Journal of Mathematical Logic 3 (2):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.

Add more references