Nuclear multilinear operators with respect to a Banach ideal of multilinear functionals

We introduce the concept of p-nuclear multilinear operator (1 <= p <= infinity) with respect to a Banach ideal of multilinear functionals and prove some Pietsch type composition results for this class. As an application we prove that each compact operator from C(Omega) into a cotype 2 space is 2-nuclear. By an example we show that the corresponding multilinear result is not true in general. (C) 2015 Elsevier Inc. All rights reserved.