Geodesic
Characterizations of inner product structures involving the radius of the inscribed or circumscribed circumference
Archivum mathematicum, Tome 32 (1996) no. 3, pp. 233-239
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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.
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.
Classification : 46B20, 46C05, 46C15, 51M04, 52A10
Keywords: inner product space; norm derivative $\rho ^{\prime }_{\pm }$; bisectrix; perpendicular bisector 
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Alsina, C.; Guijarro, P.; Tomás, M. S. Characterizations of inner product structures involving the radius of the inscribed or circumscribed circumference. Archivum mathematicum, Tome 32 (1996) no. 3, pp. 233-239. http://geodesic.mathdoc.fr/item/ARM_1996_32_3_a6/

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