Mashael Albaidani - Department of Mathematics, College of Science and Humanities Studies, Prince Sattam Bin Abdulaziz University, Al Kharj ۱۱۹۴۲, Saudi Arabia
Hari M. Srivastava - Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia V۸W ۳R۴, Canada
Abdul Ganie - SSM College of Engineering, Parihaspora, Pattan, Jammu and Kashmir ۱۹۳۱۲۱, India

The scenario of this article is to introduce the space \mathfrak{R}^{t}_s(p, \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}^{t}_s(p, \Delta) is also derived. Furthermore, its basis is constructed and some characterization of infinite matrices are given.

Sequence spaces, Kothe-duals, Infinite matrix