RT journal article
T1 Compact convex sets free of inner points in infinite-dimensional topological vector spaces
A1 Campos Jiménez, Almudena
A1 García Pacheco, Francisco Javier
A2 Matemáticas
K1 compact convex sets
K1 extremal structure
K1 inner structure
K1 projections
K1 starlike sets
AB An inner point of a non-singleton convex set M is a point (Formula presented.) satisfying that for all (Formula presented.) there exists (Formula presented.) such that (Formula presented.). We prove the existence of convex compact subsets free of inner points in the infinite-dimensional setting. Following our pathway to this result, we come up with other several geometric hits, such as the existence of a non-convex subset that coincides with its starlike envelope
PB Wiley
SN 0025-584X
YR 2023
FD 2023-12-10
LK http://hdl.handle.net/10498/31334
UL http://hdl.handle.net/10498/31334
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 12-nov-2026