International Journal of Mathematics and Mathematical Sciences
Volume 15 (1992), Issue 1, Pages 31-34
doi:10.1155/S0161171292000036
Some remarks on inequalities that characterize inner product spaces
Departamento de Matemáticas, Universidad de Extremadura, Badajoz 06071, Spain
Received 28 November 1990; Revised 11 March 1991
Copyright © 1992 Javier Alonso. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
The purpose of this paper is to obtain some new characterizations of inner product spaces in the line of the Jordan-von Neumann identity and to make some remarks on similar known characterizations of Day, Delbosco, Rassias and Senechalle, among others.