A new criterion for the normalized Haar measure to be a Pietsch measure
Functional Analysis
2026-03-31 v1
Abstract
In this paper we present a new criterion to determine when the normalized Haar measure on a compact topological group is a Pietsch measure for nonlinear summing mappings. As a consequence, we provide a partial answer to a problem raised by Botelho et al. in \cite{haar botelho} motivated by a question posed to the authors by J. Diestel. It is explicitly shown that this criterion encompasses recent and new results as particular cases.
Keywords
Cite
@article{arxiv.2603.27851,
title = {A new criterion for the normalized Haar measure to be a Pietsch measure},
author = {Alexandre Bispo and Renato Macedo and Joedson Santos},
journal= {arXiv preprint arXiv:2603.27851},
year = {2026}
}