Operators in Rigged Hilbert spaces: some spectral properties

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Abstract

A notion of resolvent set for an operator acting in a rigged Hilbert space $\D \subset \H\subset \D^\times$ is proposed. This set depends on a family of intermediate locally convex spaces living between $\D$ and $\D^\times$, called interspaces. Some properties of the resolvent set and of the corresponding multivalued resolvent function are derived and some examples are discussed.
Lingua originaleEnglish
pagine (da-a)931-946
Numero di pagine16
RivistaJournal of Mathematical Analysis and Applications
Volume411
Stato di pubblicazionePublished - 2014

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All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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