Document Type : Research Paper

Authors

• Mashael M. Albaidani ¹
• Hari M. Srivastava ^{2, 3}
• Abdul Hamid Ganie ⁴

¹ Department of Mathematics, College of Science and Humanities Studies, Prince Sattam Bin Abdulaziz University, Al Kharj 11942, Saudi Arabia

² Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia V8W 3R4, Canada

³ Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan, Republic of China

⁴ SSM College of Engineering, Parihaspora, Pattan, Jammu and Kashmir 193121, India

Abstract

The scenario of this article is to introduce the space ${\mathfrak{R}}_s^t(p,\mathrm{\Delta })$  based on a general Riesz sequence space. Its completeness property is derived and its linear isomorphism property with $\ell (p)$ is proved. The K\"{o}the-dual property of the space ${\mathfrak{R}}_s^t(p,\mathrm{\Delta })$ is also derived. Furthermore, its basis is constructed and some characterization of infinite matrices are given.

Keywords

• Sequence spaces
• Kothe-duals
• Infinite matrix