Aronszajn's Criterion for Euclidean Space

Author: Arthan R. D.  

Publisher: Mathematical Association of America

ISSN: 1930-0972

Source: American Mathematical Monthly, Vol.119, Iss.5, 2012-05, pp. : 419-422

Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.

Previous Menu Next

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.