Title of article :
Introduction and Different Properties of Space c(I): Diameter Norm Study
Author/Authors :
Taheri ، Morteza Department of Mathematics - Payame Noor University , Bayati Eshkaftaki ، Ali Department of Mathematics - Faculty of Mathematical Sciences - Shahrekord University
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 c0(I), a norm is defined on the space c(I) called as Dnorm, 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 c0(I) and c(I) are also specified. In addition we find some orthogonal vectors in the space c(I).
Keywords :
Banach space , Diameter , Extreme Point
Journal title :
Wavelets and Linear Algebra
Journal title :
Wavelets and Linear Algebra
