Toward a constructive theory of unbounded linear operators

Journal of Symbolic Logic 65 (1):357-370 (2000)
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
Keywords Constructive Functional Analysis   Linear Operators   Self-Adjointness   Spectral Theorem   Stone's Theorem
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DOI 10.2307/2586543
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Gleason's Theorem is Not Constructively Provable.Geoffrey Hellman - 1993 - Journal of Philosophical Logic 22 (2):193 - 203.

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