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Operators in Rigged Hilbert spaces: some spectral properties

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 نشر من قبل Camillo Trapani
 تاريخ النشر 2013
  مجال البحث
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A notion of resolvent set for an operator acting in a rigged Hilbert space $D subset Hsubset D^times$ 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.



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