SOME CHARACTERIZATIONS OF 2-INNER PRODUCT

Authors

DOI:

https://doi.org/10.37560/matbil17200022m

Keywords:

2-norm, 2-inner product, parallelepiped equality

Abstract

The characterization of 2-inner product is an issue which is the focus of interest of many mathematicians. In this paper, several equivalent characterizations of 2-inner product, that are consequences of Theorem 2 ([12]) are discussed. Thus, the equivalence of generalizations of the Jordan and von Neumann ([7]) and also Frechet ([8]) classical results, are proven. Furthermore, the characterization of Hlawka, the characterization of D. S. Marinescu, M. Monea, M. Opincariu and M. Stroe ([4]) are proven as well.

Downloads

Published

2017-01-01

Issue

Vol. 41 No. 2 (2017): 41 (LXVII) 2 (2017)

Section

Articles

License

Copyright (c) 2017 Matematichki Bilten

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

[1]
R. Malčeski, K. Anevska, and S. Malčeski, “SOME CHARACTERIZATIONS OF 2-INNER PRODUCT”, Mat. Bilt., vol. 41, no. 2, pp. 22–29, Jan. 2017, doi: 10.37560/matbil17200022m.