111 citations · 284 across the 47 of their papers we have counts for
15 papers · 1 filter
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…
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…
Weak -frames and weak -semi-frames
Jean-Pierre Antoine, Giorgia Bellomonte, Camillo Trapani
After reviewing the interplay between frames and lower semi-frames, we introduce the notion of lower semi-frame controlled by a densely defined operator or, for short, a \emph{…
Lower semi-frames and metric operators
J-P. Antoine, R. Corso, C. Trapani
This paper deals with the possibility of transforming a weakly measurable function in a Hilbert space into a continuous frame by a metric operator, i.e., a strictly positive self-a…
Distributions Frames and bases
Camillo Trapani, Salvatore Triolo, Francesco Tschinke
In this paper we will consider, in the abstract setting of rigged Hilbert spaces, distribution valued functions and we will investigate, in particular, conditions for them to const…
Unbounded derivations and *-automorphisms groups of Banach quasi *-algebras
Maria Stella Adamo, Camillo Trapani
This paper is devoted to the study of unbounded derivations on Banach quasi *-algebras with a particular emphasis to the case when they are infinitesimal generators of one paramete…