RT journal article
T1 The index of strong rotundity
A1 García Pacheco, Francisco Javier
A2 Matemáticas
K1 exposed point
K1 rotund point
K1 smooth point
K1 Banach space
K1 Hilbert space
AB The index of strong rotundity is introduced. This index is used to determine how far anelement of the unit sphere of a real Banach space is from being a strongly exposed point of the unitball. This index is computed for Hilbert spaces. Characterizations of the set of rotund points and theset of smooth points are provided for a better understanding of the construction of the index of strongrotundity. Finally, applications to the stereographic projection are provided
PB AMER INST MATHEMATICAL SCIENCES-AIMS
SN 2473-6988
YR 2023
FD 2023
LK http://hdl.handle.net/10498/31483
UL http://hdl.handle.net/10498/31483
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 12-nov-2026