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arXiv · 1309.4038

Operators in Rigged Hilbert spaces: some spectral properties

G. Bellomonte·S. Di Bella·C. Trapani
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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.

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G. Bellomonte, S. Di Bella, C. Trapani. 2013-09-16. Operators in Rigged Hilbert spaces: some spectral properties. https://arxiv.org/abs/1309.4038

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