@misc{10498/36917,
year = {2024},
url = {http://hdl.handle.net/10498/36917},
abstract = {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.},
publisher = {De Gruyter Brill},
keywords = {reflexivity},
keywords = {norm-attaining operator},
keywords = {Bishop-Phelps theorem},
keywords = {supporting vector},
title = {On sup-and inf-attaining functionals},
doi = {10.1515/MATH-2024-0090},
author = {García Pacheco, Francisco Javier},
}