Symmetric finite representability of ℓp-spaces in rearrangement invariant spaces on [0, 1].

For a separable rearrangement invariant space X on [0, 1] of fundamental type we identify the set of all p ∈ [ 1 , ∞ ] such that ℓ p is finitely represented in X in such a way that the unit basis vectors of ℓ p ( c 0 if p = ∞ ) correspond to pairwise disjoint and equimeasurable functions. This can be treated as a follow up of a paper by the first-named author related to separable rearrangement invariant spaces on (0 , ∞) . [ABSTRACT FROM AUTHOR]