On a class of n-normed sequences related to $\ell_p$-space

Authors

  • Binod Chandra Tripathy Institute of Advanced Study in Science and Technology Mathematical Sciences Division
  • Stuti Borgohain Indian Institute of Technology Department of Mathematics

DOI:

https://doi.org/10.5269/bspm.v31i1.15414

Keywords:

n-norm, n-Banach space, solidness, convergence free, completeness

Abstract

In this paper we introduce the class of n-normed sequences related to p-absolutely summable sequence space. Some properties of this sequence space like solidness, symmetricity, convergence-free etc. are studied. We obtain some inclusion relations involving this sequence space.

Author Biographies

  • Binod Chandra Tripathy, Institute of Advanced Study in Science and Technology Mathematical Sciences Division

    Mathematical Sciences Division

    Associate Professor and Head

  • Stuti Borgohain, Indian Institute of Technology Department of Mathematics

    Mathematical Sciences Division

    Women Scientist

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Published

2012-01-19

Issue

Vol. 31 No. 1 (2013)

Section

Research Articles

License

When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).

The journal utilize the Creative Common Attribution (CC-BY 4.0).

 

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