This is an announcement for the paper "When is the Haar measure a Pietsch measure for nonlinear mappings?" by G. Botelho, D. Pellegrino, P. Rueda, J. Santos and J.B. Seoane-Sepulveda.

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.

Archive classification: math.FA

Submitted from: dmpellegrino@gmail.com

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1204.5621

or

http://arXiv.org/abs/1204.5621