Abstract. We develop a holomorphic functional calculus for multivalued linear operators on locally convex vector spaces, based on the resolvent identity. This includes the case of fractional powers along Lipschitz curves.

AMS Subject Classification (1991): 47A60, 47A06

Keyword(s): functional calculus, locally convex vector spaces, Lipschitz curves

Received February 11, 2009, and in revised form June 11, 2012. (Registered under 33/2009.)