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arXiv · 1204.5621

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

G. Botelho·D. Pellegrino·P. Rueda·J. Santos·J. B. Seoane-Sepúlveda
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Abstract

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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G. Botelho, D. Pellegrino, P. Rueda, J. Santos, J. B. Seoane-Sepúlveda. 2012-04-25. When is the Haar measure a Pietsch measure for nonlinear mappings?. https://arxiv.org/abs/1204.5621

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