The notion of completely positive invariant conjugate-bilinear map in a partial *-algebra is introduced and a generalized Stinespring theorem is proven. Applications to the existence of integrable extensions of *-representations of commutative, locally convex quasi*-algebras are also discussed.
BAGARELLO F, INOUE A, TRAPANI C (2007). Completely positive invariant conjugate-bilinear maps on partial *-algebras. ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 26, 313-330 [10.4171/ZAA/1326].
Completely positive invariant conjugate-bilinear maps on partial *-algebras
BAGARELLO, Fabio;TRAPANI, Camillo
2007-01-01
Abstract
The notion of completely positive invariant conjugate-bilinear map in a partial *-algebra is introduced and a generalized Stinespring theorem is proven. Applications to the existence of integrable extensions of *-representations of commutative, locally convex quasi*-algebras are also discussed.
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