Schauder bases in Lipschitz free spaces over nets in Banach spaces Hájek, Petr Medina Sabino, Rubén Functional analysis In the present note we give two explicit constructions (based on a retractional argument) of a Schauder basis for the Lipschitz free space F(N), over certain uniformly discrete metric spaces N. The first one applies to every net N in a finite dimensional Banach space, leading to the basis constant independent of the dimension. The second one applies to grids in Banach spaces with an FDD. As a corollary, we obtain a retractional Schauder basis for the Lipschitz free space F(N) over a net N in every Banach space X with a Schauder basis containing a copy of c0, as well as in every Banach space with a c0-like FDD 2022-04-20T07:02:00Z 2022-04-20T07:02:00Z 2021-12-07 info:eu-repo/semantics/article Published version: J. Math. Anal. Appl. 512 (2022) 126178 [https://doi.org/10.1016/j.jmaa.2022.126178] http://hdl.handle.net/10481/74382 10.1016/j.jmaa.2022.126178 eng http://creativecommons.org/licenses/by-nc-nd/3.0/es/ info:eu-repo/semantics/openAccess Atribución-NoComercial-SinDerivadas 3.0 España