3 citations · 4 across the 4 of their papers we have counts for
4 papers
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…
Topological partial *-algebras: Basic properties and examples
J. -P. Antoine, F. Bagarello, C. Trapani
Let be a partial *-algebra endowed with a topology that makes it into a locally convex topological vector space . Then is called a topological partial *-algebra i…
Extension of representations in quasi *-algebras
J. -P. Antoine, F. Bagarello, C. Trapani
Let be a topological quasi *-algebra, which means in particular that is a topological *-algebra, dense in . Let be a *-representation of in some pre…