16 citations · 53 across the 13 of their papers we have counts for
15 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…
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…
On representations and topological aspects of positive maps on non-unital quasi *-algebras
Stefan Ivkovic, Bogdan D. Djordjevic, Giorgia Bellomonte
In this paper, we provide a representation of a certain class of C*-valued positive sesquilinear and linear maps on non-unital quasi *-algebras. Also, we illustrate our results on…
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…
Frame-related Sequences in Chains and Scales of Hilbert Spaces
Peter Balazs, Giorgia Bellomonte, Hessam Hosseinnezhad
Frames for Hilbert spaces are interesting for mathematicians but also important for applications e.g. in signal analysis and in physics. Both in mathematics and physics it is natur…
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{…
Continuous frames for unbounded operators
Giorgia Bellomonte
Few years ago Găvruţa gave the notions of -frame and atomic system for a linear bounded operator in a Hilbert space in order to decompose , the…
Frames and weak frames for unbounded operators
Giorgia Bellomonte, Rosario Corso
In 2012 Găvruţa introduced the notions of -frame and of atomic system for a linear bounded operator in a Hilbert space , in order to decompose its range $\mathc…
Hamiltonians defined by biorthogonal sets
Fabio Bagarello, Giorgia Bellomonte
In some recent papers, the studies on biorthogonal Riesz bases has found a renewed motivation because of their connection with pseudo-hermitian Quantum Mechanics, which deals with…
Riesz-like bases in rigged Hilbert spaces
Giorgia Bellomonte, Camillo Trapani
The notions of Bessel sequence, Riesz-Fischer sequence and Riesz basis are generalized to a rigged Hilbert space $\D[t] \subset \H \subset \D^\times[t^\times]$. A Riesz-like basis,…
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…