On the triangle inequality in quasi 2-normed spaces and a new characterization of 2-inner product spaces

Authors

  • Majid Abrishami-Moghaddam Department of Mathematics, Birjand Branch, Islamic Azad University, Birjand, Iran

Keywords:

2-normed linear spaces, Quasi 2-normed spaces, 2-inner product spaces, Triangle inequality, 2-angular distance, 2-skew-angular distance

Abstract

In this paper we establish a generalization of the triangle inequality in quasi 2-normed linear spaces. Moreover, we obtained a new characterization of 2-inner product spaces by comparing the 2-angular distance and 2-skew-angular distance with each other.

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Published

2014-06-30

How to Cite

Abrishami-Moghaddam, M. . (2014). On the triangle inequality in quasi 2-normed spaces and a new characterization of 2-inner product spaces. Scientific Journal of Pure and Applied Sciences, 3(6), 433-437. Retrieved from http://sjournals.com/index.php/sjpas/article/view/875

Issue

Vol. 3 No. 6 (2014): June

Section

Mathematics

License

Copyright (c) 2014 Majid Abrishami-Moghaddam

Creative Commons License

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