Generalized Geometric Difference Sequence Spaces and its duals

Abstract

Objective of this paper is to introduce the generalized geometric difference sequence spaces $l_{\infty }^G({\Delta }_G^m),c^G({\Delta }_G^m),c_0^G({\Delta }_G^m)$ and to prove that these are Banach spaces. Then we prove some inclusion properties. Also we compute their dual spaces.

15 pages. arXiv admin note: text overlap with arXiv:1603.09479