Topological persistence of the unit eigenvectors of a perturbed Fredholm operator of index zero

DOI10.4171/ZAA/1516zbMathNoneMaRDI QIDQ399445

Raffaele Chiappinelli, Massimo Furi, Maria Patrizia Pera

Publication date: 19 August 2014

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

zbMATH Keywords

eigenvalueseigenvectorsFredholm operatorsnonlinear spectral theory

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Eigenvalue problems for linear operators (47A75) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10)

Related Items (8)

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 ⋮ Approximation and convergence rate of nonlinear eigenvalues: Lipschitz perturbations of a bounded self-adjoint operator ⋮ Global perturbation of nonlinear eigenvalues ⋮ 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

• Topological persistence of the normalized eigenvectors of a perturbed self-adjoint operator
• About the sign of oriented Fredholm operators between Banach spaces
• NORMALIZED EIGENVECTORS OF A PERTURBED LINEAR OPERATOR VIA GENERAL BIFURCATION
• An Infinite Dimensional Version of Sard's Theorem
• On the concept of orientability for Fredholm maps between real Banach manifolds
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Topological persistence of the unit eigenvectors of a perturbed Fredholm operator of index zero