Unconditional basic sequences in function spaces with applications to Orlicz spaces
Ansorena, José L. ; Bello, Glenier (Universidad de Zaragoza)
Resumen: We find conditions on a function space that ensure that it behaves as an -space in the sense that any unconditional basis of a complemented subspace of either is equivalent to the unit vector system of or has a subbasis equivalent to a disjointly supported basic sequence. This dichotomy allows us to classify the symmetric basic sequences of . Several applications to Orlicz function spaces are provided.
Idioma: Inglés
DOI: 10.1007/s11117-024-01093-w
Año: 2024
Publicado en: POSITIVITY 29, 1 (2024), 1-36
ISSN: 1385-1292
Financiación: info:eu-repo/grantAgreement/ES/DGA/E48-23R
Financiación: info:eu-repo/grantAgreement/ES/MCINN/PID2022-137294NB-I00
Tipo y forma: Article (Published version)
Área (Departamento): Área Análisis Matemático (Dpto. Matemáticas)
You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
Exportado de SIDERAL (2024-11-29-13:24:15)
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Idioma: Inglés
DOI: 10.1007/s11117-024-01093-w
Año: 2024
Publicado en: POSITIVITY 29, 1 (2024), 1-36
ISSN: 1385-1292
Financiación: info:eu-repo/grantAgreement/ES/DGA/E48-23R
Financiación: info:eu-repo/grantAgreement/ES/MCINN/PID2022-137294NB-I00
Tipo y forma: Article (Published version)
Área (Departamento): Área Análisis Matemático (Dpto. Matemáticas)
You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. Exportado de SIDERAL (2024-11-29-13:24:15)
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Record created 2024-11-29, last modified 2024-11-29