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

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

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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

Published
2012-01-19
Section
Articles