Topological persistence of the normalized eigenvectors of a perturbed self-adjoint operator

DOI10.1016/j.aml.2009.09.011zbMath1197.47073OpenAlexW2069001541MaRDI QIDQ710993

Maria Patrizia Pera, Raffaele Chiappinelli, Massimo Furi

Publication date: 25 October 2010

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2009.09.011

zbMATH Keywords

bifurcation pointimplicit function theoremEuler-Poincaré characteristicisolated eigenvaluecontinuable eigenvector

Mathematics Subject Classification ID

Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Abstract bifurcation theory involving nonlinear operators (47J15) Abstract inverse mapping and implicit function theorems involving nonlinear operators (47J07)

Related Items (9)

The Brouwer degree associated to classical eigenvalue problems and applications to nonlinear spectral theory ⋮ Global continuation of the eigenvalues of a perturbed linear operator ⋮ Global persistence of the unit eigenvectors of perturbed eigenvalue problems in Hilbert spaces ⋮ Global continuation in Euclidean spaces of the perturbed unit eigenvectors corresponding to a simple eigenvalue ⋮ Topological persistence of the unit eigenvectors of a perturbed Fredholm operator of index zero ⋮ Approximation and convergence rate of nonlinear eigenvalues: Lipschitz perturbations of a bounded self-adjoint operator ⋮ PERSISTENCE OF THE NORMALIZED EIGENVECTORS OF A PERTURBED OPERATOR IN THE VARIATIONAL CASE ⋮ Eigenvalue problems for Fredholm operators with set-valued perturbations ⋮ A degree associated to linear eigenvalue problems in Hilbert spaces and applications to nonlinear spectral theory

Cites Work

• NORMALIZED EIGENVECTORS OF A PERTURBED LINEAR OPERATOR VIA GENERAL BIFURCATION
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Topological persistence of the normalized eigenvectors of a perturbed self-adjoint operator