Resumen de The attainment set of the φ-envelope and genericity properties
A. Cabot, A. Jourani, L. Thibault, Dariusz Zagrodny
The attainment set of the φ-envelope of a function at a given point is investigated. The inclusion of the attainment set of the φ-envelope of the closed convex hull of a function into the attainment set of the function is preserved in sufficiently general settings to encompass the case φ being a norm in a power not less than 1. The non-emptiness of the attainment set is guaranteed on generic subsets of a given space, in several fundamental cases.
