Hyperfinite Extensions of Bounded Operators on a Separable Hilbert Space

DOI10.2307/1997439zbMath0341.47018OpenAlexW4250220781MaRDI QIDQ4108852

L. C. jun. Moore

Publication date: 1976

Full work available at URL: https://doi.org/10.2307/1997439

Mathematics Subject Classification ID

Model theory (03C99) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Abstract operator algebras on Hilbert spaces (47L30) Nonstandard analysis (26E35) General theory of linear operators (47Axx) Nonstandard models (03H99)

Related Items (6)

Nonstandard finite-dimensional analogs of operators in \(L_ 2(R^ n)\) ⋮ Nonstandard Extensions of Transformations Between Banach Spaces ⋮ A nonstandard proof of the spectral theorem for unbounded self-adjoint operators ⋮ Nonstandard hulls of unbounded symmetric operators ⋮ Phase operator problem and macroscopic extension of quantum mechanics ⋮ Spectral theory of group representations and their nonstandard hull

Cites Work

• The nonstandard hull of a normed Riesz space
• Nonstandard hulls of the classical Banach spaces
• Subspaces of the Nonstandard Hull of a Normed Space
• Ten problems in Hilbert space
• Shorter Notes: A Necessary Condition for Quasitriangularity
• The Nonstandard Theory of Topological Vector Spaces
• The Spectral Theorem — A Non‐Standard Approach
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