When is the Haar measure a Pietsch measure for nonlinear mappings?
Functional Analysis
2015-10-02 v1
Abstract
We show that, as in the linear case, the normalized Haar measure on a compact topological group is a Pietsch measure for nonlinear summing mappings on closed translation invariant subspaces of . 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.
Keywords
Cite
@article{arxiv.1204.5621,
title = {When is the Haar measure a Pietsch measure for nonlinear mappings?},
author = {G. Botelho and D. Pellegrino and P. Rueda and J. Santos and J. B. Seoane-Sepúlveda},
journal= {arXiv preprint arXiv:1204.5621},
year = {2015}
}