Eigenvalue stability for multivalued operators | Zendy

Philippe Lavilledieu | Zendy; Alberto Seeger | Zendy

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Eigenvalue stability for multivalued operators

Author(s) -

Philippe Lavilledieu,

Alberto Seeger

Publication year - 2000

Publication title -

topological methods in nonlinear analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.623

H-Index - 23

ISSN - 1230-3429

DOI - 10.12775/tmna.2000.009

Subject(s) - mathematics , sigma , hilbert space , spectrum (functional analysis) , eigenvalues and eigenvectors , pure mathematics , operator (biology) , point (geometry) , essential spectrum , stability (learning theory) , space (punctuation) , discrete mathematics , mathematical analysis , geometry , computer science , biochemistry , chemistry , physics , repressor , quantum mechanics , machine learning , transcription factor , gene , operating system

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

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