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Positive perturbations of self-adjoint Schrödinger operators
Published online by Cambridge University Press: 14 November 2011
Synopsis
In this paper, we prove that a positive perturbation T = T0 + q (q ≧ 0 and in ) of an essentially self-adjoint Schrödinger operator T0 = −Δ + q0 on
is again essentially self-adjoint if T is relatively bounded with respect to T0. An application of the method of the proof to positive approximations of elements u ≧ 0 in D(T) by a positive sequence in
is given.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 99 , Issue 3-4 , 1985 , pp. 241 - 248
- Copyright
- Copyright © Royal Society of Edinburgh 1985
References
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