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In this paper we introduce and study the lacunary strong Zweier sequence spaces N 0 are linearly isomorphic to the space N 0 θ and N θ , respectively. And we study some connections between lacunary strong Zweier sequence and lacunary statistical Zweier convergence sequence.doi:10.4134/ckms.2010.25.1.051 fatcat:rfwdxnb7yzbaxmec37t3wpur4i