English

Aronszajn's Criterion for Euclidean Space

History and Overview 2009-10-06 v1 Functional Analysis

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.

Cite

@article{arxiv.0910.0608,
  title  = {Aronszajn's Criterion for Euclidean Space},
  author = {R. D. Arthan},
  journal= {arXiv preprint arXiv:0910.0608},
  year   = {2009}
}

Comments

4 pages, 1 figure

R2 v1 2026-06-21T13:53:51.651Z