6533b7d4fe1ef96bd1263406

RESEARCH PRODUCT

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

Atsushi InoueFabio BagarelloCamillo Trapani

subject

Pure mathematicsIntegrable systemApplied MathematicsRegular polygonFOS: Physical sciencesBilinear interpolationMathematical Physics (math-ph)Completely positive mapSettore MAT/05 - Analisi MatematicaPartial O*-algebrasPartial *-algebraInvariant (mathematics)Commutative propertySettore MAT/07 - Fisica MatematicaAnalysisMathematical PhysicsConjugateMathematics

description

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.

yearjournalcountryeditionlanguage
2007-01-01
10.4171/zaa/1326http://hdl.handle.net/10447/1756