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
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Published
2017-09-23
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