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Aronszajn’s Criterion for Euclidean Space
R. D. Arthan
The American Mathematical Monthly
Vol. 119, No. 5 (May 2012), pp. 419-422
Published by: Mathematical Association of America
Stable URL: http://www.jstor.org/stable/10.4169/amer.math.monthly.119.05.419
Page Count: 4
You can always find the topics here!Topics: Euclidean space, Parallelograms, Inner products, Mathematical theorems, Unit vectors, Algebra, Geometric angles, Polynomials, Trigonometric identities, Mathematics
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Abstract We give a simple proof of a characterization of Euclidean space due to Aronszajn and derive a well-known characterization due to Jordan and von Neumann as a corollary.
Copyright the Mathematical Association of America 2012