A new criterion for the normalized Haar measure to be a Pietsch measure
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866908920154423296 |
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| author | Bispo, Alexandre Macedo, Renato Santos, Joedson |
| author_facet | Bispo, Alexandre Macedo, Renato Santos, Joedson |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_27851 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A new criterion for the normalized Haar measure to be a Pietsch measure Bispo, Alexandre Macedo, Renato Santos, Joedson Functional Analysis Primary 28C10, Secondary 46T99, 47H99 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. |
| title | A new criterion for the normalized Haar measure to be a Pietsch measure |
| topic | Functional Analysis Primary 28C10, Secondary 46T99, 47H99 |
| url | https://arxiv.org/abs/2603.27851 |