On the Paranormed Space L(t) of Double Sequences

Capan H., Basar F.

FILOMAT, vol.32, no.3, pp.1043-1053, 2018 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 32 Issue: 3
  • Publication Date: 2018
  • Doi Number: 10.2298/fil1803043c
  • Journal Name: FILOMAT
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1043-1053
  • Inonu University Affiliated: Yes

Abstract

In this paper, we introduce the paranormed sequence space L(t) which is the generalization of the space L q of all absolutely q summable double sequences. We examine some topological properties of the space L(t) and determine its alpha-, beta -and gamma-duals. Finally, we characterize some classes of four-dimensional matrix transformations from the space L(t) into some spaces of double sequences.