The strong Nakano property in Banach lattices
We study the strong Nakano property in Banach lattices with a special focus on free Banach lattices. We show that for every finite dimensional Banach space E, the free Banach lattice FBL[E] has the strong Nakano property with a constant independent of the dimension. It is also shown that if FBL[E] h...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2025 |
| País: | España |
| Institución: | Consejo Superior de Investigaciones Científicas (CSIC) |
| Repositorio: | DIGITAL.CSIC. Repositorio Institucional del CSIC |
| OAI Identifier: | oai:digital.csic.es:10261/425349 |
| Acceso en línea: | http://hdl.handle.net/10261/425349 https://www.scopus.com/inward/record.uri?eid=2-s2.0-105011363737&doi=10.1007%2Fs13398-025-01764-7&partnerID=40&md5=79fbb34e97b18bc530ce6402a801f900 |
| Access Level: | acceso abierto |
| Palabra clave: | Banach lattice Strong Nakano property Free Banach lattice |
| Sumario: | We study the strong Nakano property in Banach lattices with a special focus on free Banach lattices. We show that for every finite dimensional Banach space E, the free Banach lattice FBL[E] has the strong Nakano property with a constant independent of the dimension. It is also shown that if FBL[E] has the strong Nakano property, then E cannot contain subspaces isomorphic to neither c0 nor L1. © The Author(s) 2025. |
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