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- W2951436200 abstract "We give a new characterisation of inner product spaces amongst normed vector spaces in terms of the maximal cirumradius of spheres. It turns out that a normed vector space $(X,norm{cdot})$ with $dim Xgeq 2$ is an inner product space if and only if all spheres are not degenerate, i.e. the maximal circumradius of points on the sphere equals the radius of the sphere." @default.
- W2951436200 created "2019-06-27" @default.
- W2951436200 creator A5061693115 @default.
- W2951436200 date "2012-02-02" @default.
- W2951436200 modified "2023-09-27" @default.
- W2951436200 title "A characterisation of inner product spaces by the maximal circumradius of spheres" @default.
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