Juan Rafael Acosta-Portilla

collaborators

3 papers

math.FA2026

Intrinsic Hilbert metrics on cones of equivalent norms

Juan Rafael Acosta-Portilla

Let $X$ be a Banach space and let $N (X)$ denote the family of equivalent norms on $X$ . We study Hilbert projective metrics on its projectivization $N^{'} (X)$ induc…

math.FA2026

Finite Polyhedral Models for the Space of Equivalent Norms

Juan Rafael Acosta-Portilla

We study finite polyhedral models inside the projectivized space of equivalent norms $N^{'} (X)$ on a finite-dimensional Banach space $X$ , endowed with the logarithmic distor…

math.FA2026

Completeness of constructible norms

Juan Rafael Acosta-Portilla, Armando Sánchez-Nungaray, Gerardo Ramos-Vázquez +1

In the present work we study for a given Banach space the quotient of the family of equivalent norms modulus the collinearity relationship and prove that under a Banach-Mazur type…