TY  - JOUR
T1  - Isometric embedding of $\ell_1$ into Lipschitz-free spaces and $\ell_\infty$ into their duals
A1  - Cúth, Marek
A1  - Johanis, Michal
JA  - Proc. Amer. Math. Soc.
Y1  - 2017
VL  - 145
SP  - 3409
EP  - 3421
UR  - http://dx.doi.org/10.1090/proc/13590
M2  - doi: 10.1090/proc/13590
N2  - We show that the dual of every infinite-dimensional Lipschitz-free Banach space contains an isometric copy of $\ell_\infty$ and that it is often the case that a Lipschitz-free Banach space contains a $1$-complemented subspace isometric to $\ell_1$.
Even though we do not know whether the latter is true for every infinite-dimensional Lipschitz-free Banach space, we show that the space is never rotund.
M1  - Preprint year = 2016
ER  -