التفاصيل البيبلوغرافية
| العنوان: |
Unconditional basic sequences in function spaces with applications to Orlicz spaces. |
| المؤلفون: |
Ansorena, José L.1 (AUTHOR) joseluis.ansorena@unirioja.es, Bello, Glenier2 (AUTHOR) |
| المصدر: |
Positivity. Feb2025, Vol. 29 Issue 1, p1-36. 36p. |
| مصطلحات موضوعية: |
ORLICZ spaces, FUNCTION spaces, SEQUENCE spaces |
| مستخلص: |
We find conditions on a function space L that ensure that it behaves as an L p -space in the sense that any unconditional basis of a complemented subspace of L either is equivalent to the unit vector system of ℓ 2 or has a subbasis equivalent to a disjointly supported basic sequence. This dichotomy allows us to classify the symmetric basic sequences of L . Several applications to Orlicz function spaces are provided. [ABSTRACT FROM AUTHOR] |
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| قاعدة البيانات: |
Business Source Index |