Approximation properties determined by operator ideals and approximability of homogeneous polynomials and holomorphic functions
Given an operator ideal I, a Banach space E has the I-approximation property if the identity operator 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 linear operators/homogeneous polynomials, spaces of holomorphic functions and their preduals.