Circumcenters in real normed spaces
The study of circumcenters in different types of triangles in real normed spaces gives new characterizations of inner product spaces.
Characterizations of inner product spaces through an isosceles trapezoid property
Generalizing a property of isosceles trapezoids in the real plane into real normed spaces, a couple of characterizations of inner product spaces (i.p.s) are obtained.
Characterizations of inner product structures involving the radius of the inscribed or circumscribed circumference
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.
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