Idioma:

Continuity of convex functions at the boundary of their domains: an infinite dimensional Gale-Klee-Rockafellar theorem

ERNST, EMIL

Proceedings of the American Mathematical Society, 2017-10, Vol.145 (10), p.4473-4483 [Periódico revisado por pares]

Texto completo disponível

Citações Citado por

Título:
Continuity of convex functions at the boundary of their domains: an infinite dimensional Gale-Klee-Rockafellar theorem
Autor: ERNST, EMIL
Assuntos: D. GEOMETRY
É parte de: Proceedings of the American Mathematical Society, 2017-10, Vol.145 (10), p.4473-4483
Descrição: Given C a closed convex set spanning the real Banach space X and x_0 a boundary point of C, this article proves that the two following statements are equivalent: (i) any lower semi-continuous convex function f:C\to \mathbb{R} is continuous at x_0, and (ii) at x_0, C is Maserick polyhedral; that is, C is locally the intersection of a finite family of closed half-spaces.
Editor: American Mathematical Society
Idioma: Inglês

Voltar para lista de resultados