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Positive perturbations of self-adjoint Schrödinger operators

Published online by Cambridge University Press:  14 November 2011

Th. Kappeler
Th. Kappeler
Affiliation:
Department of Mathematics, University of California, Berkeley, Calif., U.S.A.
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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

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