On the paranormed space $\mathcal{M}_{u}(t)$ of double sequences
Başar, Feyzi ; Çapan, Hüsamettin
Boletim da Sociedade Paranaense de Matemática, Tome 37 (2017), / Harvested from Portal de Periódicos da UEM
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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.

Publié le : 2017-01-01
DOI : https://doi.org/10.5269/bspm.v37i3.32008 
@article{32008,
     title = {On the paranormed space $\mathcal{M}\_{u}(t)$ of double sequences},
     journal = {Boletim da Sociedade Paranaense de Matem\'atica},
     volume = {37},
     year = {2017},
     doi = {10.5269/bspm.v37i3.32008},
     language = {EN},
     url = {http://dml.mathdoc.fr/item/32008}
}

Başar, Feyzi; Çapan, Hüsamettin. On the paranormed space $\mathcal{M}_{u}(t)$ of double sequences. Boletim da Sociedade Paranaense de Matemática, Tome 37 (2017) . doi : 10.5269/bspm.v37i3.32008. http://gdmltest.u-ga.fr/item/32008/