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On the point spectra of complex Sturm—Liouville operators

Published online by Cambridge University Press:  14 November 2011

Ian Knowles  and
David Race
Ian Knowles
Affiliation:
Department of Mathematics, University of the Witwatersrand, Johannesburg, South Africa
David Race
Affiliation:
Department of Mathematics, University of the Witwatersrand, Johannesburg, South Africa
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Synopsis

In this paper, the formally J-symmetric Sturm—Liouville operator with complex-valued coefficients is considered, and as a preliminary two criteria are established for the J-selfadjointness of certain of its extensions. The main purpose of the work is to give results on the location of the point spectra of such operators. Some of the results are extensions of results known for real-valued coefficients, whilst others are new.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 85 , Issue 3-4 , 1980 , pp. 263 - 289
Copyright
Copyright © Royal Society of Edinburgh 1980

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