Characteristic matrices and spectral properties of evolutionary systems

Kaashoek, M. A.; Verduyn Lunel, S. M.

doi:10.1090/S0002-9947-1992-1155350-0

Characteristic matrices and spectral properties of evolutionary systems
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by M. A. Kaashoek and S. M. Verduyn Lunel

Trans. Amer. Math. Soc. 334 (1992), 479-517

DOI: https://doi.org/10.1090/S0002-9947-1992-1155350-0

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Abstract:

In this paper we introduce the notion of a characteristic matrix for a large class of unbounded operators and study the precise connection between characteristic matrices and spectral properties of evolutionary systems. In particular, we study so-called multiplicity theorems. Several examples will illustrate our results.

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