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Hilbert spaces expanded with a unitary operator
Author(s) -
Argoty Camilo,
Berenstein Alexander
Publication year - 2009
Publication title -
mathematical logic quarterly
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.473
H-Index - 28
eISSN - 1521-3870
pISSN - 0942-5616
DOI - 10.1002/malq.200710076
Subject(s) - unitary operator , mathematics , unitary state , countable set , hilbert space , operator (biology) , pure mathematics , spectrum (functional analysis) , discrete mathematics , algebra over a field , quantum mechanics , law , biochemistry , chemistry , physics , repressor , political science , transcription factor , gene
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)