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Proof of a conjecture of Race

Published online by Cambridge University Press:  14 November 2011

Heinz-Dieter Niessen
Heinz-Dieter Niessen
Affiliation:
Department of Mathematics, University of Essen, Essen, Germany
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Synopsis

The following conjecture of Race will be proved: if τ is a formally J-symmetric quasi-differential expression on a real interval I, such that for some λ = ℂ all solutions of τy = τy belong to L2(I), then λ belongs to the regularity field of the minimal operator To generated by τ in L2(l).

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 95 , Issue 3-4 , 1983 , pp. 243 - 246
Copyright
Copyright © Royal Society of Edinburgh 1983

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References

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5Race, D.. On the essential spectra of linear 2nth order differential operators with complex coefficients. Proc. Roy. Soc. Edinburgh Sect. A 92 (1982), 65–75.CrossRefGoogle Scholar