4 citations · 7 across the 9 of their papers we have counts for
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Global persistence of the unit eigenvectors of perturbed eigenvalue problems in Hilbert spaces: the odd multiplicity case
Pierluigi Benevieri, Alessandro Calamai, Massimo Furi +1
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 d…
A degree associated to linear eigenvalue problems in Hilbert spaces and applications to nonlinear spectral theory
Pierluigi Benevieri, Alessandro Calamai, Massimo Furi +1
We extend to the infinite dimensional context the link between two completely different topics recently highlighted by the authors: the classical eigenvalue problem for real square…
Global persistence of the unit eigenvectors of perturbed eigenvalue problems in Hilbert spaces
Pierluigi Benevieri, Alessandro Calamai, Massimo Furi +1
We consider the nonlinear eigenvalue problem , , where are real parameters, are bounded linear operators…
The Brouwer degree associated to classical eigenvalue problems and applications to nonlinear spectral theory
Pierluigi Benevieri, Alessandro Calamai, Massimo Furi +1
Thanks to a connection between two completely different topics, the classical eigenvalue problem in a finite dimensional real vector space and the Brouwer degree for maps between o…