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)