Global persistence of the unit eigenvectors of perturbed eigenvalue problems in Hilbert spaces: the odd multiplicity case
Spectral Theory
2021-01-11 v1
Abstract
We study the persistence of eigenvalues and eigenvectors of perturbed eigenvalue problems in Hilbert spaces. We assume that the unperturbed problem has a nontrivial kernel of odd dimension and we prove a Rabinowitz-type global continuation result. The approach is topological, based on a notion of degree for oriented Fredholm maps of index zero between real differentiable Banach manifolds.
Keywords
Cite
@article{arxiv.2101.02910,
title = {Global persistence of the unit eigenvectors of perturbed eigenvalue problems in Hilbert spaces: the odd multiplicity case},
author = {Pierluigi Benevieri and Alessandro Calamai and Massimo Furi and Maria Patrizia Pera},
journal= {arXiv preprint arXiv:2101.02910},
year = {2021}
}
Comments
arXiv admin note: text overlap with arXiv:2006.15539