@misc{10498/31483,
year = {2023},
url = {http://hdl.handle.net/10498/31483},
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},
publisher = {AMER INST MATHEMATICAL SCIENCES-AIMS},
keywords = {exposed point},
keywords = {rotund point},
keywords = {smooth point},
keywords = {Banach space},
keywords = {Hilbert space},
title = {The index of strong rotundity},
doi = {10.3934/MATH.20231043},
author = {García Pacheco, Francisco Javier},
}