We define the radius of the inscribed and circumscribed circumferences in a triangle located in a real normed space and we obtain new characterizations of inner product spaces.
@article{107576,
author = {Claudi Alsina and Piedad Guijarro Carranza and M. S. Tom\'as},
title = {Characterizations of inner product structures involving the radius of the inscribed or circumscribed circumference},
journal = {Archivum Mathematicum},
volume = {032},
year = {1996},
pages = {233-239},
zbl = {0909.46020},
mrnumber = {1421858},
language = {en},
url = {http://dml.mathdoc.fr/item/107576}
}
Alsina, Claudi; Guijarro Carranza, Piedad; Tomás, M. S. Characterizations of inner product structures involving the radius of the inscribed or circumscribed circumference. Archivum Mathematicum, Tome 032 (1996) pp. 233-239. http://gdmltest.u-ga.fr/item/107576/
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