5 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…
Porosity and supercyclic operators on solid Banach function spaces
Stefan Ivkovic
In this paper, we characterize supercyclic weighted composition operators on a large class of solid Banach function spaces, in particular on Lebesgue, Orlicz and Morrey spaces. Als…
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…