  Given an operator ideal I, a Banach space E has the I-approximation property
if operators on E can be uniformly approximated on compact subsets of E by
operators belonging to I. In this paper the I- approximation property is
studied in projective tensor products, spaces of linear functionals, spaces of
homogeneous polynomials (in particular, spaces of linear operators), spaces of
holomorphic functions and their preduals.
