Eigenvalue stability for multivalued operators

Philippe Lavilledieu, Alberto Seeger

DOI: http://dx.doi.org/10.12775/TMNA.2000.009

Abstract


Let $\sigma(F)$ denote the point spectrum of a multivalued
operator $F \colon H \rightrightarrows H $ defined over a real Hilbert space.
The aim of this note is to explore the continuity
properties of the spectral mapping $F \rightrightarrows \sigma(F)$.

Keywords


Multivalued operator; eigenvalue; point spectrum; Painlevé-Kuratowski convergence; homogenization pseudo-similarity transformation

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