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Geometric ZWEIER Convergent Lacunary Sequence Spaces (2012.08746v2)

Published 16 Dec 2020 in math.FA

Abstract: The main purpose of this paper is to introduce lacunary strong geometric zweier convergent sequence spaces $N_{\theta }{0} \left[Z\left(G\right)\right]$, $N_{\theta } \left[Z\left(G\right)\right]$, $N_{\theta }{\infty } \left[Z\left(G\right)\right]$consisting of all sequences $x=\left(x_{k} \right)$such that $\left[Z\left(G\right)\right]x$ are in the spaces $N_{\theta }{0} ,N_{\theta } {\rm and\; }N_{\theta }{\infty } $ respectively, which are normed. We prove certain topological properties of these spaces and compute their lacunary stastical zweier convergence.

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