On the Paranormed Space of Bounded Variation Double Sequences


YEŞİLKAYAGİL M., Basar F.

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, cilt.43, ss.2701-2712, 2020 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 43 Konu: 3
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1007/s40840-019-00829-2
  • Dergi Adı: BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY
  • Sayfa Sayıları: ss.2701-2712

Özet

In this study, as the domain of four-dimensional backward difference matrix in the space Lu(t), we introduce the complete paranormed space BV(t) of bounded variation double sequences and examine some properties of that space. Also, we determine the gamma-dual and beta(theta)-dual of the space BV(t). Finally, we characterize the classes (BV(t):Mu), (BV(t):C theta) and (Lu(t):mu) with mu is an element of{BS,CS theta,Mu(Delta),C theta(Delta)}, where Mu(Delta) and C theta(Delta) denote the spaces of all double sequences whose Delta-transforms are in the spaces Mu and C theta, respectively.