Aronszajn's Criterion for Euclidean Space
R.D. Arthan
TL;DR
This paper presents a straightforward proof of Aronszajn's criterion for Euclidean space and derives Jordan & von Neumann's characterization as a corollary, simplifying existing proofs in geometric analysis.
Contribution
The paper offers a simplified proof of Aronszajn's criterion and connects it to Jordan & von Neumann's characterization, enhancing understanding of Euclidean space properties.
Findings
Simplified proof of Aronszajn's criterion.
Derivation of Jordan & von Neumann's characterization.
Clarification of Euclidean space properties.
Abstract
We give a simple proof of a characterization of euclidean space due to Aronszajn and derive a well-known characterization due to Jordan & von Neumann as a corollary.
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Taxonomy
TopicsMathematics and Applications