5 citations · 18 across the 13 of their papers we have counts for
13 papers · 1 filter
Unbounded C-seminorms and -Representations of Partial *-Algebras
F. Bagarello, A. Inoue, C. Trapani
The main purpose of this paper is to construct *-representations from unbounded C-seminorms on partial *-algebras and to investigate their *-representations.
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…
Structure of locally convex quasi -algebras
F. Bagarello, M. Fragoulopoulou, A. Inoue +1
The completion of a (normed) -algebra with respect to a locally convex topology on that makes the multiplication of separately continuous…
Some classes of topological quasi *-algebras
F. Bagarello, A. Inoue, C. Trapani
The completion of a locally convex *-algebra with not jointly continuous multiplication is a *-vector space with partial multiplication defined only…
Morphisms of certain Banach C*-modules
F. Bagarello, C. Trapani
Morphisms and representations of a class of Banach C*-modules, called CQ*algebras, are considered. Together with a general method for constructing CQ*-algebras, two different ways…
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…