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Spectral properties of first order ordinary differential operators with short range potentials

Published online by Cambridge University Press:  22 January 2016

S. Itatsu  and
H. Kaneta
S. Itatsu
Affiliation:
Department of Mathematics, Faculty of Science University of Shizuoka Department of Mathematics, Faculty of Science University of Nagoya
H. Kaneta
Affiliation:
Department of Mathematics, Faculty of Science University of Shizuoka Department of Mathematics, Faculty of Science University of Nagoya
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The purpose of the present paper is to give a complete proof of the theorem which will be used in a paper of the second author [4].

We will discuss certain spectral properties of selfadjoint ordinary differential operators of the form iA(d/dx) + V acting in L2(R)n = Σ ⊕ L2(R)n, where A is a real diagonal constant matrix and V an Hermitian matrix valued function on R which satisfies some conditions to be stated in the sequel.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 79 , October 1980 , pp. 23 - 32
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1980

References

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