Abstrakt
In this note we study the structure of Lipschitz-free Banach spaces. We show that every Lipschitz-free Banach space over an infinite metric space contains a complemented copy of l(1).
This result has many consequences for the structure of Lipschitz-free Banach spaces. Moreover, we give an example of a countable compact metric space K such that F(K) is not isomorphic to a subspace of L-1 and we show that whenever M is a subset of R-n, then F(M) is weakly sequentially complete; in particular, c(0) does not embed into F(M).