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math.OA2026
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…
math.OA2024
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…
math.OA2024
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…