English

On some properties of new paranormed sequence space of non-absolute type

Functional Analysis 2011-05-20 v1

Abstract

In this work, we introduce some new generalized sequence space related to the space l(p). Furthermore we investigate some topological properties as the completeness, the isomorphism and also we give some inclusion relations between this sequence space and some of the other sequence spaces. In addition, we compute alpha-, beta- and gamma-duals of this space, and characterize certain matrix transformations on this sequence space.

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Cite

@article{arxiv.1105.3747,
  title  = {On some properties of new paranormed sequence space of non-absolute type},
  author = {Vatan Karakaya and Necip Simsek and Harun Polat},
  journal= {arXiv preprint arXiv:1105.3747},
  year   = {2011}
}

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8 pages