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Toward a constructive theory of unbounded linear operators
Published online by Cambridge University Press: 12 March 2014
Abstract
We show that the following results in the classical theory of unbounded linear operators on Hilbert spaces can be proved within the framework of Bishop's constructive mathematics: the Kato-Rellich theorem, the spectral theorem. Stone's theorem, and the self-adjointness of the most common quantum mechanical operators, including the Hamiltonians of electro-magnetic fields with some general forms of potentials.
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- Copyright © Association for Symbolic Logic 2000
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