Complemented subspaces of Banach lattices
We survey recent developments on the structure of complemented subspaces of Banach lattices, including in particular the construction of a complemented subspace of a C(K)-space which is not linearly isomorphic to any Banach lattice. Motivated by this, several natural questions and directions of futu...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión enviada para evaluación y publicación |
| 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:10261/422314 |
| Acceso en línea: | http://hdl.handle.net/10261/422314 https://www.scopus.com/inward/record.uri?eid=2-s2.0-105012313182&doi=10.1007%2Fs43037-025-00447-0&partnerID=40&md5=2f2994bfeaba736bf9a7fd61da9a649d |
| Access Level: | acceso abierto |
| Palabra clave: | Banach lattice Complemented subspace Free Banach lattice Hyperplane C(K)-space AM-space |
| Sumario: | We survey recent developments on the structure of complemented subspaces of Banach lattices, including in particular the construction of a complemented subspace of a C(K)-space which is not linearly isomorphic to any Banach lattice. Motivated by this, several natural questions and directions of future research are presented. We provide an approach to some of these problems using tools from the theory of free Banach lattices. |
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