On the index of meromorphic operator-valued functions and some applications
Chapter
Accepted version
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Date
2017Metadata
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- Institutt for matematiske fag [2532]
- Publikasjoner fra CRIStin - NTNU [38672]
Original version
10.4171/175-1/5Abstract
We revisit and connect several notions of algebraic multiplicities of zeros of analytic operator-valued functions and discuss the concept of the index of meromorphic operator-valued functions in complex, separable Hilbert spaces. Applications to abstract perturbation theory and associated Birman–Schwinger-type operators and to the operator-valued Weyl–Titchmarsh functions associated to closed extensions of dual pairs of closed operators are provided.