On the Paranormed Space M-u(t) of Double Sequences
BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, vol.37, no.3, pp.99-111, 2019 (ESCI, Scopus)
- Publication Type: Article / Article
- Volume: 37 Issue: 3
- Publication Date: 2019
- Doi Number: 10.5269/bspm.v37i3.32008
- Journal Name: BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA
- Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
- Page Numbers: pp.99-111
- Istanbul University Affiliated: Yes
Abstract
In this paper, we introduce the paranormed sequence space M-u (t) corresponding to the normed space M u of all bounded double sequences. We examine general topological properties of this space and determine its alpha-, betaand gamma-duals. Furthermore, we characterize some classes of four-dimensional matrix transformations concerning this space and its dual spaces.