Lipschitz free p-spaces for 0<p<1 in the light of the Schur p-property and the compact reduction
The geometric analysis of non-locally convex quasi-Banach spaces presents rich and nuanced challenges. In this paper, we introduce the Schur p-property and the strong Schur p-property for 0<p¿1, providing new tools to deepen the understanding of these spaces, and the Lipschitz free p-spaces i...
| Autores: | , , , |
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| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2025 |
| País: | España |
| Recursos: | Universidad Pública de Navarra |
| Repositorio: | Academica-e. Repositorio Institucional de la Universidad Pública de Navarra |
| OAI Identifier: | oai:dnet:academicae__::73d4c8564ce007df3a58bac99e0c17db |
| Acesso em linha: | https://hdl.handle.net/2454/56684 |
| Access Level: | acceso abierto |
| Palavra-chave: | Compact reduction Lispchitz free p-space Schur p-property Strong Schur p-property |
| Resumo: | The geometric analysis of non-locally convex quasi-Banach spaces presents rich and nuanced challenges. In this paper, we introduce the Schur p-property and the strong Schur p-property for 0<p¿1, providing new tools to deepen the understanding of these spaces, and the Lipschitz free p-spaces in particular. Moreover, by developing an adapted version of the compact reduction principle, we prove that Lipschitz free p-spaces over discrete metric spaces possess the approximation property, thereby answering positively a question raised by Albiac et al. in [4]. |
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