On the Paranormed Space M-u(t) of Double Sequences


Basar F., Capan H.

BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, cilt.37, ss.99-111, 2019 (ESCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 37 Konu: 3
  • Basım Tarihi: 2019
  • Doi Numarası: 10.5269/bspm.v37i3.32008
  • Dergi Adı: BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA
  • Sayfa Sayıları: ss.99-111

Özet

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.