@misc{10481/74382,
year = {2021},
month = {12},
url = {http://hdl.handle.net/10481/74382},
abstract = {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},
organization = {MIU
	FPU19/04085},
organization = {Ministerio de Ciencia e Innovación

PGC2018-093794-B-I00},
organization = {Chinese Academy of Agricultural Sciences

CZ.02.1.01/0.0/0.0/16-019/0000778, SGS21/056/OHK3/1T/13},
keywords = {Functional analysis},
title = {Schauder bases in Lipschitz free spaces over nets in Banach spaces},
doi = {10.1016/j.jmaa.2022.126178},
author = {Hájek, Petr and Medina Sabino, Rubén},
}