RT journal article
T1 On sup-and inf-attaining functionals
A1 García Pacheco, Francisco Javier
A2 Matemáticas
K1 reflexivity
K1 norm-attaining operator
K1 Bishop-Phelps theorem
K1 supporting vector
AB Reflexivity is characterized by the weak-compactness of the unit ball. The weak-compactness of bounded, closed, and convex sets is characterized through sup-attaining functionals in view of the famous James’ theorem. The aim of this mathematical note is to provide the construction of bounded, closed, and convex subsets for which there exists a functional attaining its supremum on such a set but not its infimum. This construction leads to a characterization of reflexivity in the category of normed spaces and a characterization of full norm-attainment also in the category of normed spaces.
PB De Gruyter Brill
SN 2391-5455
YR 2024
FD 2024
LK http://hdl.handle.net/10498/36917
UL http://hdl.handle.net/10498/36917
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 10-may-2026