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A REMARK ON THE ESSENTIAL SPECTRA OF DIRAC SYSTEMS

Published online by Cambridge University Press:  01 January 2000

KARL MICHAEL SCHMIDT
KARL MICHAEL SCHMIDT
Affiliation:
Mathematisches Institut, Universität München, Theresienstr. 39, D-80333 München, Germany
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Abstract

A potential for the one-dimensional Dirac operator is constructed such that its essential spectrum does not cover the whole real line, whereas the potential q(x) tends to ∞ as [mid ]x[mid ] → ∞. Furthermore, a criterion by Hartman and Wintner for points of the essential spectrum of Sturm–Liouville operators is generalised to a purely operator-theoretical setting, and a simplified proof is given.

Type
NOTES AND PAPERS
Information
Bulletin of the London Mathematical Society , Volume 32 , Issue 1 , January 2000 , pp. 63 - 70
Copyright
© The London Mathematical Society 2000

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