Author = Taheri, Morteza
Number of Articles: 1
Introduction and Different Properties of Space c(I): Diameter Norm Study
Volume 9, Issue 1, 2022, Pages 37-48
https://doi.org/10.22072/wala.2022.543538.1354
Morteza Taheri, Ali Bayati Eshkaftaki
Abstract In this paper, the space $ c (I) $ is introduced and some of its properties examined. Then with the help of a diameter norm on the space $ c_{0}(I)$, a norm is defined on the space $ c (I) $ called as D- norm, which is an extension of the $ d-$norm. It is also shown that the D- norm is equivalent to the supremum norm. The extreme points of the unit ball of the spaces $ c_{0}(I) $ and $ c (I) $ are also specified. In addition we find some orthogonal vectors in the space $ c (I) $.