Eigenvalue stability for multivalued operators

Authors

  • Philippe Lavilledieu
  • Alberto Seeger

Keywords

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

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 $F \rightrightarrows \sigma(F)$.

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Published

2000-03-01

How to Cite

1.
LAVILLEDIEU, Philippe and SEEGER, Alberto. Eigenvalue stability for multivalued operators. Topological Methods in Nonlinear Analysis. Online. 1 March 2000. Vol. 15, no. 1, pp. 115 - 128. [Accessed 5 July 2025].

Issue

Vol 15, No 1 (March 2000)

Section

Articles

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