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

  • Sushomita Mohanta Department of Mathematics, Utkal University, Vani-Vihar, Bhubaneswar-751004, India.
Keywords: Difference sequence space, lacunary sequence, Luxemburg norm, uniform Opial property, Fatou property, Banach Saks of type p

Abstract

In this paper, we de?ne a new generalized di?erence sequence space Screenshot_34.pnginvolving lacunary sequence where  Screenshot_18.png is a bounded sequence of positive real numbers with Screenshot_28.png and Screenshot_45.pngThen, we examine the uniform Opial property, k-NUC property and Banach-Saks property of type p for this space.

Published
2019-09-19
How to Cite
Mohanta, S. (2019). Some Geometric Properties of a Generalized Difference Sequence Space Involving Lacunary Sequence. Advances in Mathematics and Computer Science Vol. 2, 36-47. Retrieved from https://stm1.bookpi.org/index.php/amacs-v2/article/view/383