The aim of the project is to study functions with smooth properties defined in Banach spaces as well as the existence of equivalent norms with "better" properties than the initial one (renormings). This study refers both to the influence that the geometric characteristics, or topological properties, of the space have on the differentiability of the norm or the existence of renormings with certain properties, and to the study of various classes of smooth functions, whether analytic, differentiable or polynomial, as Banach spaces or algebras and the operators that can be defined between them.

Other research and experimental development on natural sciences and engineering