On the paranormed space $\mathcal{M}_{u}(t)$ of double sequences
Keywords:
Paranormed double sequence space, Dual spaces, matrix transformations
Abstract
In this paper, we introduce the paranormed sequence space $\mathcal{M}_{u}(t)$ corresponding to the normed space $\mathcal{M}_{u}$ of bounded double sequences. We examine general topological properties of this space and determine its alpha-, beta- and gamma-duals. Furthermore, we characterize some classes of four-dimensional matrix transformations concerning this space and its dual spaces.Downloads
Download data is not yet available.
Published
2017-09-23
Issue
Section
Research Articles
Copyright (c) 2017 Boletim da Sociedade Paranaense de Matemática
This work is licensed under a Creative Commons Attribution 4.0 International License.
When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).
The journal utilize the Creative Common Attribution (CC-BY 4.0).
