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

Abstract

For a separable rearrangement invariant space X on [0, 1] of fundamental type we identify the set of all p ? [1, 8] 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 = oo) 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, 8).