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Hilbert spaces expanded with a unitary operator
Mathematical Logic Quarterly 55 (1):37-50 (2009)
Abstract
We study Hilbert spaces expanded with a unitary operator with a countable spectrum. We show that the theory of such a structure is ω -stable and admits quantifier eliminationOther Versions
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Citations of this work
Around independence and domination in metric abstract elementary classes: assuming uniqueness of limit models.Andrés Villaveces & Pedro Zambrano - 2014 - Mathematical Logic Quarterly 60 (3):211-227.
The model theory of modules of a C*-algebra.Camilo Argoty - 2013 - Archive for Mathematical Logic 52 (5-6):525-541.
The SB-property on metric structures.Camilo Argoty, Alexander Berenstein & Nicolás Cuervo Ovalle - forthcoming - Archive for Mathematical Logic:1-29.
Forking and stability in the representations of a c*-algebra.Camilo Argoty - 2015 - Journal of Symbolic Logic 80 (3):785-796.
Model theory of a Hilbert space expanded with an unbounded closed selfadjoint operator.Camilo Enrique Argoty Pulido - 2014 - Mathematical Logic Quarterly 60 (6):403-424.
References found in this work
Simple stable homogeneous expansions of Hilbert spaces.Alexander Berenstein & Steven Buechler - 2004 - Annals of Pure and Applied Logic 128 (1-3):75-101.
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