see pp.48–49 in Schauder(1927). Schauder defines there a general model for this system, of which the Faber–Schauder system used today is a special case. Schauder, Juliusz (1927), «Zur Theorie stetiger Abbildungen in Funktionalraumen», Mathematische Zeitschrift(en alemán)26: 47–65, doi:10.1007/BF01475440, hdl:10338.dmlcz/104881.
see pp.48–49 in Schauder(1927). Schauder defines there a general model for this system, of which the Faber–Schauder system used today is a special case. Schauder, Juliusz (1927), «Zur Theorie stetiger Abbildungen in Funktionalraumen», Mathematische Zeitschrift(en alemán)26: 47–65, doi:10.1007/BF01475440, hdl:10338.dmlcz/104881.