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Toward a constructive theory of unbounded linear operators

Published online by Cambridge University Press:  12 March 2014

Feng Ye
Feng Ye*
Affiliation:
Philosophy Department, Princeton University, Princeton, New Jersey 08544, USA, E-mail: fengye@princeton.edu
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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.

Keywords

Constructive functional analysisLinear operatorsSelf-adjointnessSpectral theoremStone's theorem
Type
Research Article
Information
The Journal of Symbolic Logic , Volume 65 , Issue 1 , March 2000 , pp. 357 - 370
Copyright
Copyright © Association for Symbolic Logic 2000

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References

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