-summing mappings and the domination theorem

  • Ximena Mujica

    Universidade Federal do Paraná, Curitiba, Brazil


We extend the concept of -summing operators presented by Pietsch in his monograph on Operator Ideals to multilinear mappings and polynomials. We also present a domination theorem for -summing mappings and polynomials, showing their relation with -semi-integral mappings and polynomials.

Cite this article

Ximena Mujica, -summing mappings and the domination theorem. Port. Math. 65 (2008), no. 2, pp. 211–226

DOI 10.4171/PM/1806