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Preprint Number 296

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296. Camilo Enrique Argoty Pulido
Model Theory of a Hilbert space expanded with an Unbounded Closed Selfadjoint Operator
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Submission date: 12 February 2011.

Abstract:

We study a closed unbounded self-adoint operator Q acting on a Hilbert space H in the framework of Metric Abstract Elementary Classes (MAECS). We build a suitable MAEC for (H, Q), prove it is is superstable and characterize non-forking, orthogonality and domination of (Galois) types in that MAEC.

Mathematics Subject Classification: 03C45, 03C48, 03C52, 03C65, 03C98, 37K05, 46C05, 46C07, 47A05.

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