[EN] It is a classical fact, due to Day, that every separable Banach space admits an equivalent Gateaux smooth renorming. In fact, it admits an equivalent uniformly Gateaux smooth norm, as was shown later by Day, James, ...
Cobollo Gómez, Christian(Universitat Politècnica de València, 2020-10-26)
[ES] Renormar un espacio de Banach consiste en definir en él una norma que genere la misma topología. Dos normas que generan la misma topología se dice que son equivalentes. Se busca que la norma equivalente tenga mejores ...