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Tensor norms related to the space of Cohen p-nuclear multilinear mappings. (English) Zbl 1219.47142
Summary: In this paper, we consider the ideal of Cohen p-nuclear multilinear mappings, which is a natural multilinear extension of the ideal of p-nuclear linear operators. The space of Cohen p-nuclear m-linear mappings is characterized by means of a suitable tensor norm up to an isometric isomorphism.
MSC:
47L22Ideals of polynomials and of multilinear mappings (operator theory)
47H60Multilinear and polynomial operators