Resolvent convergence of Sturm-Liouville operators with singular potentials

Details Resolvent convergence of Sturm-Liouville operators with singular potentials Resolvent convergence of Sturm-Liouville operators with singular potentials

2010-01-23

arxiv.org/abs/1001.4160v1

Math. Notes 87 (2010), no. 2, 287-292

Mathematics

Functional Analysis

6 pages, to appear in Math. Notes

Scientific paper

10.1134/S0001434610010372

In this paper we consider the Sturm-Liuoville operator in the Hilbert space
$L_2$ with the singular complex potential of $W^{-1}_2$ and two-point boundary
conditions. For this operator we give sufficient conditions for norm resolvent
approximation by the operators of the same class.

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