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

Publish place: Scientific Journal of Pure and Applied Sciences، Vol: 3، Issue: 6
Publish Year: 1393
Type: Journal paper
Language: English
View: 497

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Link to this Paper:
https://civilica.com/doc/406200

Document National Code:

JR_SJPAS-3-6_007

Index date: 6 December 2015

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

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

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

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

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

m Abrishami-Moghaddam

Department of Mathematics, Birjand Branch, Islamic Azad University, Birjand, Iran. Corresponding author; Department of Mathematics Birjand Branch, Islamic Azad University, Birjand, Iran.