THE LACUNARY STRONG ZWEIER CONVERGENT SEQUENCE SPACES

被引：0
作者：
Sengonul, Mehmet [1 ]
机构：
[1] Nevsehir Univ, Dept Math, TR-50000 Nevsehir, Turkey
来源：
COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY | 2010年 / 25卷 / 01期
关键词：
lacunary sequence; Zweier space; statisticial convergence; Banach space; isomorphism;
D O I：
10.4134/CKMS.2010.25.1.051
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we introduce and study the lacunary strong Zweier sequence spaces N-theta(0)[Z], N-theta[Z] consisting of all sequences x = (x(k)) such that (Z(x)) in the space N-theta(0) and N-theta(0) respectively, which is normed. Also, prove that N-theta(0)[Z], N-theta(0)[Z] are linearly isomorphic to the space N0 ae and N ae, respectively. And we study some connections between lacunary strong Zweier sequence and lacunary statistical Zweier convergence sequence.
引用
收藏
页码：51 / 57
页数：7
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