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Completely Positive Invariant Conjugate-Bilinear Maps in Partial *-Algebras

Completely Positive Invariant Conjugate-Bilinear Maps in Partial *-Algebras

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.