Generalized Geometric Difference Sequence Spaces and its duals

Khirod Boruah; Bipan Hazarika; Mikail Et

Generalized Geometric Difference Sequence Spaces and its duals

Functional Analysis 2016-06-30 v2

Authors: Khirod Boruah , Bipan Hazarika , Mikail Et

Abstract

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

Keywords

banach spaces

Cite

@article{arxiv.1603.09497,
  title  = {Generalized Geometric Difference Sequence Spaces and its duals},
  author = {Khirod Boruah and Bipan Hazarika and Mikail Et},
  journal= {arXiv preprint arXiv:1603.09497},
  year   = {2016}
}

Comments

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

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