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arxiv: 0904.0883 · v1 · submitted 2009-04-06 · 🧮 math-ph · math.MP

Completely positive invariant conjugate-bilinear maps in partial *-algebras

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keywords algebrascompletelyconjugate-bilinearinvariantpartialpositivealgebraapplications
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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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