%0 Journal Article 
%A García Pacheco, Francisco Javier
%T The index of strong rotundity
%D 2023
%@ 2473-6988
%U http://hdl.handle.net/10498/31483
%X 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
%K exposed point
%K rotund point
%K smooth point
%K Banach space
%K Hilbert space
%~ Universidad de Cádiz