Model theory of a Hilbert space expanded with an unbounded closed selfadjoint operator

DOI10.1002/MALQ.201110043zbMath1355.03030arXiv1102.2454OpenAlexW1591292137MaRDI QIDQ2933741

Camilo Enrique Argoty Pulido

Publication date: 5 December 2014

Published in: Mathematical Logic Quarterly (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.2454

zbMATH Keywords

Hilbert space\(\aleph_0\)-categoricity\(\aleph_0\)-stabilitymetric abstract elementary classesclosed unbounded self-adjoint operator

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Spectrum, resolvent (47A10) Classification theory, stability, and related concepts in model theory (03C45) Models of other mathematical theories (03C65) Categoricity and completeness of theories (03C35) Abstract elementary classes and related topics (03C48)

Related Items (1)

Tameness in generalized metric structures

Cites Work

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• The model theory of modules of a \(C^*\)-algebra
• Categoricity in homogeneous complete metric spaces
• Simple stable homogeneous expansions of Hilbert spaces
• Metric abstract elementary classes with perturbations
• Essential Stability Theory
• CONTINUOUS FIRST ORDER LOGIC FOR UNBOUNDED METRIC STRUCTURES
• ON PERTURBATIONS OF CONTINUOUS STRUCTURES
• Around independence and domination in metric abstract elementary classes: assuming uniqueness of limit models
• Hilbert spaces expanded with a unitary operator
• An Extension of the Weyl-Von Neumann Theorem to Normal Operators

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