Introduction and Different Properties of Space c(I): Diameter Norm Study
عنوان مقاله: Introduction and Different Properties of Space c(I): Diameter Norm Study
شناسه ملی مقاله: JR_WALA-9-1_004
منتشر شده در در سال 1401
شناسه ملی مقاله: JR_WALA-9-1_004
منتشر شده در در سال 1401
مشخصات نویسندگان مقاله:
Morteza Taheri - Department of Mathematics, Payame Noor University, P.O.Box ۱۹۳۹۵-۳۶۹۷, Tehran, Iran
Ali Bayati Eshkaftaki - Department of Mathematics, Faculty of Mathematical Sciences, Shahrekord University, Iran
خلاصه مقاله:
Morteza Taheri - Department of Mathematics, Payame Noor University, P.O.Box ۱۹۳۹۵-۳۶۹۷, Tehran, Iran
Ali Bayati Eshkaftaki - Department of Mathematics, Faculty of Mathematical Sciences, Shahrekord University, Iran
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_{۰}(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_{۰}(I) and c (I) are also specified. In addition we find some orthogonal vectors in the space c (I) .
کلمات کلیدی: Banach space, Diameter, Extreme Point
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1902889/