16 citations · 53 across the 13 of their papers we have counts for
4 papers · 1 filter
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…
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…
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…
Bounded elements of C*-inductive locally convex spaces
Giorgia Bellomonte, Salvatore Di Bella, Camillo Trapani
The notion of bounded element of C*-inductive locally convex spaces (or C*-inductive partial *-algebras) is introduced and discussed in two ways: the first one takes into account t…