Preprint
Oct 2026
On the $L$-embeddability of Lipschitz-free spaces in their biduals
A Banach space $X$ is $L$-embedded in its bidual if there is a projection $P\colon X^{**}\to X$ such that $\|x\|=\|Px\|+\|x-Px\|$ for all $x\in X^{**}$. We show that, as long as $X$ has dimension at least $2$, its Lipschitz-free space, denoted by $\mathcal{F}(X)$, is not $L$-embedded in its bidual. Our methods have app...
Bruno de Mendonça Braga, C. Gartland, G. Lancien et al.
· 2 citations
· ⚡1