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Título: | Compact spaces associated to separable Banach lattices |
Autor: | Avilés, A.; Martínez-Cervantes, G.; Rueda Zoca, A.; Tradacete, Pedro CSIC ORCID | Fecha de publicación: | 2022 | Editor: | Springer Nature | Citación: | Banach Journal of Mathematical Analysis 16 (2022) | Resumen: | We study the class of compact spaces that appear as structure spaces of separable Banach lattices. In other words, we analyze what C(K) spaces appear as principal ideals of separable Banach lattices. Among other things, it is shown that every such compactum K admits a strictly positive regular Borel measure of countable type that is analytic, and in the nonmetrizable case these compacta are saturated with copies of βN. Some natural questions about this class are left open. | Versión del editor: | http://dx.doi.org/10.1007/s43037-022-00221-6 | URI: | http://hdl.handle.net/10261/295569 | DOI: | 10.1007/s43037-022-00221-6 | Identificadores: | doi: 10.1007/s43037-022-00221-6 issn: 1735-8787 |
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