Wilson angles in linear normed spaces

Joseph Earl Valentine and Stanley G. Wayment

Vol. 36 (1971), No. 1, 239–243

DOI: 10.2140/pjm.1971.36.239

Abstract

The purpose of this note is to give a complete answer to the question: which linear normed spaces over the field of reals have the property that an angle (determined by two metric rays) can be defined in terms of the euclidean law of cosines ?

Mathematical Subject Classification

Primary: 46.10

Milestones

Received: 7 April 1970

Published: 1 January 1971