Abstract. Partial Jordan-triples are algebras with three variables occuring naturally in the description of the holomorphic automorphism groups of bounded circular domains. The following question is studied: under which conditions can all inner derivations of a partial Jordan-triple be recovered from their restrictions to the complete algebraic base of the triple.

AMS Subject Classification (1991): 17C65, 17C30, 32M05, 32M15, 32H20

Received October 19, 1994. (Registered under 5655/2009.)