In this paper we investigate the *-representations of a partial *-algebra A. In particular, it is proved that, if A is semiassociative and if the set of right multipliers is dense with respect to a seminorm p on A, there exists a bounded and regular *-represenation on A.
Tschinke, F. (2008). C*-seminorms and representation on partial *-algebras. In T. Brugarino, M.S. Mongiovi' (a cura di), Bollettino di Matematica pura e applicata (pp. 179-185). Roma : Aracne.
C*-seminorms and representation on partial *-algebras
TSCHINKE, Francesco
2008-01-01
Abstract
In this paper we investigate the *-representations of a partial *-algebra A. In particular, it is proved that, if A is semiassociative and if the set of right multipliers is dense with respect to a seminorm p on A, there exists a bounded and regular *-represenation on A.
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