Title of article
Operators in rigged Hilbert spaces: Some spectral properties
Author/Authors
L. Bellomonte، نويسنده , , Giorgia and Di Bella، نويسنده , , Salvatore and Trapani، نويسنده , , Camillo، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2014
Pages
16
From page
931
To page
946
Abstract
A notion of resolvent set for an operator acting in a rigged Hilbert space D ⊂ H ⊂ D × is proposed. This set depends on a family of intermediate locally convex spaces living between D and D × , called interspaces. Some properties of the resolvent set and of the corresponding multivalued resolvent function are derived and some examples are discussed.
Keywords
Rigged Hilbert spaces , Operators , Spectrum
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2014
Journal title
Journal of Mathematical Analysis and Applications
Record number
1564198
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