On the length of gaps in the essential spectrum of a generalised Dirac operator
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- by W. D. Evans PDF
- Proc. Amer. Math. Soc. 35 (1972), 137-146 Request permission
Abstract:
The object of the paper is to give an upper bound for the length of the gaps that can occur in the essential spectrum of any selfadjoint operator which is generated by a generalised Dirac system of differential expressions in the Hilbert space ${L^2}(a,b)$. An estimate is also obtained for the limit point of the spectrum which has least absolute value.References
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- M. G. Gasymov, An inverse problem of scattering theory for a system of Dirac equations of order $2n$, Trudy Moskov. Mat. Obšč. 19 (1968), 41–112 (Russian). MR 0241073
- Joachim Weidmann, Oszillationsmethoden für Systeme gewöhnlicher Differentialgleichungen, Math. Z. 119 (1971), 349–373 (German). MR 285758, DOI 10.1007/BF01109887
Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 35 (1972), 137-146
- MSC: Primary 34B25; Secondary 47E05
- DOI: https://doi.org/10.1090/S0002-9939-1972-0306599-0
- MathSciNet review: 0306599