16 citations · 53 across the 13 of their papers we have counts for
Showing 2013 · math.FAShow all
3 papers · 2 filters
math.FA2013★ 14 cited
Rigged Hilbert spaces and contractive families of Hilbert spaces
Giorgia Bellomonte, Camillo Trapani
The existence of a rigged Hilbert space whose extreme spaces are, respectively, the projective and the inductive limit of a directed contractive family of Hilbert spaces is investi…
math.FA2013★ 2 cited
Extensions of Representable Positive Linear Functionals to Unitized Quasi *-Algebras
Giorgia Bellomonte
It is known that, under certain conditions, *-representability and extensibility to the unitized *-algebra of a positive linear functional, defined on a *-algebra without unit, are…
math.FA2013
Operators in Rigged Hilbert spaces: some spectral properties
G. Bellomonte, S. Di Bella, C. Trapani
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…