2 papers
math.MG2026
Measure-valued valuations on star bodies
Jorge S. Ibáñez-Marcos, Monika Ludwig, Pedro Tradacete +1
A complete classification of weak~continuous, measure-valued valuations is established on star bodies in . Consequences are an integral representation of rotation equivar…
math.MG2026
Non-continuous valuations on convex bodies and a new characterization of volume
Jorge S. Ibáñez Marcos, Pedro Tradacete, Ignacio Villanueva
This paper investigates the use of automatic continuity techniques in the context of valuations on convex bodies. We first provide an automatic continuity theorem for valuations re…