3 papers
math.FA2016
Some Representation Theorems for Sesquilinear Forms
Salvatore Di Bella, Camillo Trapani
The possibility of getting a Radon-Nikodym type theorem and a Lebesgue-like decomposition for a non necessarily positive sesquilinear form defined on a vector space $\mathcal D…
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…
math.OA2013
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…