26 citations · 63 across the 25 of their papers we have counts for
8 papers · 1 filter
A convexity criterion via the De Giorgi slope
Tahar Z. Boulmezaoud, Aris Daniilidis, Trí Minh Lê
Let be a Banach space and be bounded from below. We show that if for some , the function is convex, then is con…
Determination of (unbounded) convex functions via Crandall-Pazy directions
Aris Daniilidis, David Salas, Sebastián Tapia-García
It has been recently discovered that a convex function can be determined by its slopes and its infimum value, provided this latter is finite. The result was extended to nonconvex f…
ABB theorems: Results and limitations in infinite dimensions
Aris Daniilidis, Carlo de Bernardi, Enrico Miglierina
We construct a weakly compact convex subset of with nonempty interior that has an isolated maximal element, with respect to the lattice order . Moreover, the ma…
Extending the Choquet theory: Trace convexity
Mohammed Bachir, Aris Daniilidis
We introduce the notion of trace convexity for functions and respectively, for subsets of a compact topological space. This notion generalizes both classical convexity of vector sp…
Asymmetric free spaces and canonical asymmetrizations
Aris Daniilidis, Juan Matías Sepulcre, M Francisco Venegas
A construction analogous to that of Godefroy-Kalton for metric spaces allows to embed isometrically, in a canonical way, every quasi-metric space to an asymmetric normed sp…
Smooth semi-Lipschitz functions and almost isometries of Finsler manifolds
Aris Daniilidis, Jesus Jaramillo, Francisco Venegas M
The convex cone of real-valued smooth semi-Lipschitz functions on a Finsler manifold is an order-algebraic structure that captures…