[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.2010.25.1.051

THE LACUNARY STRONG ZWEIER CONVERGENT SEQUENCE SPACES

Sengonul, Mehmet (Department of Mathematics, Nevsehir University)

Publication Information

Communications of the Korean Mathematical Society / v.25, no.1, 2010 , pp. 51-57 More about this Journal

Abstract

In this paper we introduce and study the lacunary strong Zweier sequence spaces $N_{\theta}^O[Z]$ , $N_{\theta}[Z]$ consisting of all sequences x = $(x_k)$ such that (Zx) in the space $N_{\theta}$ and $N_{\theta}^O$ respectively, which is normed. Also, prove that $N_{\theta}^O[Z}$ , $N_{\theta}[Z}$ , are linearly isomorphic to the space $N_{\theta}^O$ and $N_{\theta}$ , respectively. And we study some connections between lacunary strong Zweier sequence and lacunary statistical Zweier convergence sequence.

Keywords

lacunary sequence; Zweier space; statisticial convergence; Banach space; isomorphism;

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