Hilbert spaces expanded with a unitary operator |
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| Authors: | Camilo Argoty Alexander Berenstein |
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| Affiliation: | 1. Universidad de los Andes, Departamento de Matemáticas, Carrera 1 N 18A‐10, Bogotá, Colombia;2. Universidad Sergio Arboleda, Departamento de Matemáticas |
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| 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 elimination. (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) |
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| Keywords: | Metric structures unitary operators stability theory spectral theory |
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