Year: 2024
Type: article
Abstract: We find conditions on a function space $${\varvec{L}}$$ L that ensure that it behaves as an $$L_p$$ L p -space in the sense that any unconditional basis of a complemented subspace of $${\varvec{L}}$$ L either is equivalent to the unit vector system of $$\ell _2$$ ℓ 2 or has a subbasis equivalent to a disjointly supported basic sequence. This dichotomy allows us to classify the symmetric basic sequences of $${\varvec{L}}$$ L . Several applications to Orlicz function spaces are provided.
Source: Positivity
Authors: José L. Ansorena, Glenier Bello
Institutions: Universidad de La Rioja, Universidad de Zaragoza
Language: English
Topic: Advanced Banach Space Theory
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $2,990
Award: G5111782423
OpenAlex ID: W4404131698