THE LACUNARY STRONG ZWEIER CONVERGENT SEQUENCE SPACES

Title & Authors
THE LACUNARY STRONG ZWEIER CONVERGENT SEQUENCE SPACES
Sengonul, Mehmet;

Abstract
In this paper we introduce and study the lacunary strong Zweier sequence spaces $\small{N_{\theta}^O[Z]}$, $\small{N_{\theta}[Z]}$ consisting of all sequences x = $\small{(x_k)}$ such that (Zx) in the space $\small{N_{\theta}}$ and $\small{N_{\theta}^O}$ respectively, which is normed. Also, prove that $\small{N_{\theta}^O[Z}}$, $\small{N_{\theta}[Z}}$, are linearly isomorphic to the space $\small{N_{\theta}^O}$ and $\small{N_{\theta}}$, 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;
Language
English
Cited by
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