Independence Arising From Interacting Fock Spaces and Related Central Limit Theorem, by Anis BEN GHORBAL (Riyadh( KSA) and Vitonofrio CRI SMALE (Bari, ITALY

Abstract: We present the notion of projective independence, which abstracts, in an algebraic setting, the factorization rule for the vacuum expectation of creation-annihilations-preservation operators in interacting Fock spaces described in [3]. Furthermore, we give a central limit theorem based on such a notion and a Fock representation of the limit process

2000AMS Mathematics Subject Classification: Primary: 60B99, 46L53; Secondary: 81S05

Key words: Interacting Fock spaces, central limit theorems, GNS representation