111 citations · 284 across the 47 of their papers we have counts for
51 papers
Cauchy-Schwarz inequalities for maps in noncommutative Lp-spaces
Giorgia Bellomonte, Stefan Ivkovic, Camillo Trapani
In this paper, a generalized Cauchy-Schwarz inequality for positive sesquilinear maps with values in noncommutative Lp-spaces for p > 1 are obtained. Bound estimates for their real…
Eigenstates of CQ*-algebras
Fabio Bagarello, Hiroshi Inoue, Camillo Trapani +1
Motivated by some recent results, we consider the notion of eigenstate (and eigenvalue) for an element of a CQ*-algebras and the consequences on algebraic quantum dynamics and…
Banach bimodule-valued positive maps: Inequalities and induced representations
Giorgia Bellomonte, Stefan Ivkovic, Camillo Trapani
In this paper, we consider representations induced by general positive and completely positive sesquilinear maps with values in ordered Banach bimodules, such as the space of trace…
Regularized quantum motion in a bounded set: Hilbertian aspects
Fabio Bagarello, Jean-Pierre Gazeau, Camillo Trapani
It is known that the momentum operator canonically conjugated to the position operator for a particle moving in some bounded interval of the line {(with Dirichlet boundary conditio…
GNS-construction for positive C*-valued sesquilinear maps on a quasi *-algebra
Giorgia Bellomonte, Stefan Ivkovic, Camillo Trapani
The GNS construction for positive invariant sesquilinear forms on quasi *-algebras is generalized to a class of positive C*-valued sesquilinear maps on quasi *-algebras. The result…
Topological aspects of quasi *-algebras with sufficiently many *-representations
Giorgia Bellomonte, Camillo Trapani
Quasi *-algebras possessing a sufficient family of invariant positive sesquilinear forms carry several topologies related to which make every *-represen…