Abstract
In this chapter we introduce an important class of operators that have a characteristic matrix function in the sense of Definition 5.2.1. The chapter consists of three sections. In the first section the characteristic matrix function is defined. The main theorem is a completeness theorem which is proved in the second section. In the final session we show that the results of the first two sessions remain true if the Volterra operator is replaced by a quasi-nilpotent operator.
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Kaashoek, M.A., Verduyn Lunel, S.M. (2022). Finite Rank Perturbations of Volterra Operators. In: Completeness Theorems and Characteristic Matrix Functions. Operator Theory: Advances and Applications, vol 288. Birkhäuser, Cham. https://doi.org/10.1007/978-3-031-04508-0_6
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DOI: https://doi.org/10.1007/978-3-031-04508-0_6
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