On New Space of Vector-Valued Generalized Bounded Sequences Defined on Product Normed Space

Authors

  • Jagat Krishna Pokharel
  • Narayan Prasad Pahari
  • Jhavi Lal Ghimire

DOI:

https://doi.org/10.3126/njmathsci.v4i2.59531

Abstract

Abstract:In this paper, we introduce and study a new vector valued sequence spacel( XY, –, u– ,|| . ||)with its terms from a product normed spaceXY. Beside investigating the linear space structure of l( X × Y, –, u–,|| . || ) with respect to co-ordinatewise vector operations, our primarily interest is to explore the conditions in terms of u–and–so thata class l( X × Y, –, u–,|| . || ) is contained in or equal to another class of same kind .

Keywords: Sequence space, Generalized sequence space, Product-normed space.

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Published

2023-08-01

How to Cite

Pokharel, J. K. ., Pahari , N. P. ., & Ghimire, J. L. . (2023). On New Space of Vector-Valued Generalized Bounded Sequences Defined on Product Normed Space. Nepal Journal of Mathematical Sciences, 4(2). https://doi.org/10.3126/njmathsci.v4i2.59531