Introduction and Different Properties of Space c(I): Diameter Norm Study

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Article Type:
Research/Original Article (دارای رتبه معتبر)
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) $.
Language:
English
Published:
Wavelets and Linear Algebra, Volume:9 Issue: 1, Spring and Summer 2022
Pages:
37 to 48
https://www.magiran.com/p2541878  
سامانه نویسندگان
  • Morteza Taheri
    Corresponding Author (1)
    Phd Student Mathematical, Payame Noor University, Tehran, Iran
    Taheri، Morteza
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