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On the stability of self-adjointness of Schrödinger operators under positive perturbations
Published online by Cambridge University Press: 14 November 2011
Synopsis
We introduce a class of essentially self-adjoint Schrödinger operators, where essential self-adjointness is stable under positive potential perturbations. We show that this class is “stable” under certain perturbations and contains operators discussed by Simon and Kato. Finally, an extended essentially self-adjointness criterion is given.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 86 , Issue 1-2 , 1980 , pp. 165 - 173
- Copyright
- Copyright © Royal Society of Edinburgh 1980
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