@article{García-Pacheco2023, 
author = {Francisco Javier García-Pacheco},
title = {The index of strong rotundity},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {9},
pages = {20477-20486},
keywords = {exposed point, rotund point, smooth point, Banach space, Hilbert space},
url = {https://www.sciopen.com/article/10.3934/math.20231043},
doi = {10.3934/math.20231043},
abstract = {The index of strong rotundity is introduced. This index is used to determine how far an element of the unit sphere of a real Banach space is from being a strongly exposed point of the unit ball. This index is computed for Hilbert spaces. Characterizations of the set of rotund points and the set of smooth points are provided for a better understanding of the construction of the index of strong rotundity. Finally, applications to the stereographic projection are provided.}
}