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- Title
Global Persistence of the Unit Eigenvectors of Perturbed Eigenvalue Problems in Hilbert Spaces: The Odd Multiplicity Case.
- Authors
Benevieri, Pierluigi; Calamai, Alessandro; Furi, Massimo; Pera, Maria Patrizia; Chiappinelli, Raffaele
- 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.
- Subjects
HILBERT space; EIGENVALUES; DIFFERENTIABLE manifolds; SPECTRAL theory; NONLINEAR theories
- Publication
Mathematics (2227-7390), 2021, Vol 9, Issue 5, p561
- ISSN
2227-7390
- Publication type
Article
- DOI
10.3390/math9050561