When is the Haar measure a Pietsch measure for nonlinear mappings?

Details When is the Haar measure a Pietsch measure for nonlinear mappings? When is the Haar measure a Pietsch measure for nonlinear mappings?

2012-04-25

arxiv.org/abs/1204.5621v1

Mathematics

Functional Analysis

Scientific paper

We show that, as in the linear case, the normalized Haar measure on a compact topological group $G$ is a Pietsch measure for nonlinear summing mappings on closed translation invariant subspaces of $C(G)$. This answers a question posed to the authors by J. Diestel. We also show that our result applies to several well-studied classes of nonlinear summing mappings. In the final section some problems are proposed.

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