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math.FA2025
Upper semicontinuous valuations on convex functions of one variable
Fernanda M. Baêta
A classification of upper semicontinuous, translation and dually epi-translation invariant valuations is established on the space of convex Lipschitz function on with…
math.FA2025
On the Semicontinuity of Functionals on Function Spaces
Fernanda M. Baêta, Monika Ludwig
Results on the upper and lower semicontinuity of functionals defined on spaces of convex and more general functions are established. In particular, the following result is obtained…
math.FA2025
Constructive Decompositions of the Identity for Functional John Ellipsoids
F. M. Baêta
We consider functional ellipsoids in the sense defined by Ivanov and Naszódi and we study the problem of constructing a decomposition of the identity similar to the one given by Fr…