On uniform Kadec-Klee properties and rotundity in generalized Cesàro sequence spaces
نویسندگان
چکیده
We consider the generalized Cesàro sequence spaces defined by Suantai (2003) and consider it equipped with the Amemiya norm. The main purpose of this paper is to show that ces (p) equipped with the Amemiya norm is rotund and has uniform Kadec-Klee property. 1. Introduction. In the whole paper, N and R stand for the sets of natural numbers and real numbers, respectively. Let (X, · ·) be a real normed space and B(X)(S(X)) the closed unit ball (the unit sphere) of X. A point x ∈ S(X) is called an extreme point if for any y,z ∈ B(X) the equality 2x = y + z implies y = z.
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ورودعنوان ژورنال:
- Int. J. Math. Mathematical Sciences
دوره 2004 شماره
صفحات -
تاریخ انتشار 2004