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Moment problem and spectral theorem. (English) Zbl 0996.81023
Authors’ abstract: Hausdorff momentum problem and its relations to the spectral theorem for bounded Hilbert space operators are treated. A generalization for some ordered algebras is shown, where projections are replaced by idempotents.
MSC:
81Q10 Selfadjoint operator theory in quantum theory, including spectral analysis
44A60 Moment problems
47A57 Linear operator methods in interpolation, moment and extension problems
81P10 Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects)
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