On the index of meromorphic operator-valued functions and some applications
Spectral Theory
2016-11-14 v3
Abstract
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.
Keywords
Cite
@article{arxiv.1512.06962,
title = {On the index of meromorphic operator-valued functions and some applications},
author = {Jussi Behrndt and Fritz Gesztesy and Helge Holden and Roger Nichols},
journal= {arXiv preprint arXiv:1512.06962},
year = {2016}
}
Comments
24 pages, some corrections and updates were made. This paper revisits and extends some parts of arXiv:1405.4910