Generalized Geometric Difference Sequence Spaces and its duals

preprint2016arXivOpen access

Abstract

Objective of this paper is to introduce the generalized geometric difference sequence spaces l∞G(ΔGm),cG(ΔGm),c0G(ΔGm)l_\infty^{G}(Δ^m_G), c^G(Δ^m_G), c_0^{G}(Δ^m_G) and to prove that these are Banach spaces. Then we prove some inclusion properties. Also we compute their dual spaces.

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