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arXiv 2012.08746math.FA

Geometric ZWEIER Convergent Lacunary Sequence Spaces

S. Singh, S. Dutta

英文摘要:

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

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