On 2 - normed space valued paranormed null sequence space

Authors

  • Narayan Prasad Pahari Central Department of Mathematics, Tribhuvan University, University Campus, Kirtipur, Kathmandu,

DOI:

https://doi.org/10.3126/bibechana.v10i0.9308

Keywords:

2- normed space, 2–Banach space, Paranormed space, Sequence Space

Abstract

In this paper we introduce and study a new class c0 ( S, α‾ , u‾ , ||. , .|| ) of sequences with values in 2- normed space as a generalization of basic null sequence space c0. We investigate some conditions pertaining to the containment relations of the class c0 ( S, α‾ , u‾ , ||. , .|| ) in terms of different α‾ and u‾ and explore the linear topological structures of the space c0 ( S, αoline; , u‾ , ||. , .|| ) by endowing it with a suitable natural paranorm.

BIBECHANA 10 (2014) 20-30

DOI: http://dx.doi.org/10.3126/bibechana.v10i0.9308

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Published

2013-12-12

How to Cite

Pahari, N. P. (2013). On 2 - normed space valued paranormed null sequence space. BIBECHANA, 10, 20–30. https://doi.org/10.3126/bibechana.v10i0.9308

Issue

Vol. 10 (2014)

Section

Research Articles

License

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