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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

Hans L. Cycon
Hans L. Cycon
Affiliation:
Technische Universität Berlin, Fachbereich Mathematik, B.R.D.
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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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