2 papers
math.FA2024
The Hahn-Banach theorem in spaces of nonlinear generalized functions
Djamel eddine Kebiche, Paolo Giordano
In this paper, we establish a suitable version of the Hahn-Banach theorem within the framework of Colombeau spaces, a class of spaces used to model generalized functions. Our appro…
math.FA2024
Universal properties of spaces of generalized functions
Djamel eddine Kebiche, Paolo Giordano
By means of several examples, we motivate that universal properties are the simplest way to solve a given mathematical problem, explaining in this way why they appear everywhere in…