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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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Characteristic matrices and spectral properties of evolutionary systems
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by M. A. Kaashoek and S. M. Verduyn Lunel PDF
Trans. Amer. Math. Soc. 334 (1992), 479-517 Request permission

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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Additional Information
  • © Copyright 1992 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 334 (1992), 479-517
  • MSC: Primary 47A45; Secondary 34G10, 34K40, 47B38, 47D03, 47N20, 92D25
  • DOI: https://doi.org/10.1090/S0002-9947-1992-1155350-0
  • MathSciNet review: 1155350