Some Geometric Properties of a Generalized Difference Sequence Space Involving Lacunary Sequence

Sushomita Mohanta

doi:10.9734/ARJOM/2018/39783

Research Article Open access CC BY 4.0

Some Geometric Properties of a Generalized Difference Sequence Space Involving Lacunary Sequence

Sushomita Mohanta

Asian Research Journal of Mathematics · pp. 1–13 · Published 22 Feb 2018

10.9734/ARJOM/2018/39783

Abstract

In this paper, we define a new generalized difference sequence space l(p, θ,Δm, s) involving lacunary sequence where p = (pr) is a bounded sequence of positive real numbers with pr > 1 for all r ∈ and s ≥ 0. Then, we examine the uniform Opial property, k-NUC property and Banach-Saks property of type p for this space.

Difference sequence space lacunary sequence Luxemburg norm uniform Opial property Fatou property Banach Saks of type p.

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Sushomita Mohanta (2018). Some Geometric Properties of a Generalized Difference Sequence Space Involving Lacunary Sequence. Asian Research Journal of Mathematics , 1–13. https://doi.org/10.9734/ARJOM/2018/39783

Affiliations

Sushomita Mohanta — Department of Mathematics, Utkal University, Vani-Vihar, Bhubaneswar-751004, India.

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