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arXiv · 2603.27851

A new criterion for the normalized Haar measure to be a Pietsch measure

Alexandre Bispo·Renato Macedo·Joedson Santos
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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.

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Alexandre Bispo, Renato Macedo, Joedson Santos. 2026-03-29. A new criterion for the normalized Haar measure to be a Pietsch measure. https://arxiv.org/abs/2603.27851

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