Annali di Matematica Pura ed Applicata

, Volume 118, Issue 1, pp 229–294 | Cite as

Contributions to the spectral theory for nonlinear operators in Banach spaces

  • M. Furi
  • M. Martelli
  • A. Vignoli


Banach Space Spectral Theory Nonlinear Operator 
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Si introduce una definizione di spettro σ(f) per applicazioni continue definite in uno spazio di Banach. Tale definizione coincide con quella classica nel caso in cui f sia lineare e continua. Alcuni dei risultati più noti della teoria spettrale lineare vengono estesi al caso non lineare. In particolare si dimostra che σ(f) è chiuso e che la sua frontiera è contenuta nello spettro puntuale approssimato σπ(f).


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Copyright information

© Fondazione Annali di Matematica Pura ed Applicata 1978

Authors and Affiliations

  • M. Furi
    • 1
  • M. Martelli
    • 1
  • A. Vignoli
    • 2
  1. 1.Firenze
  2. 2.L'Aquila

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