On Some Spaces Isomorphic to the Space of Absolutely q-summable Double Sequences


Capan H., Basar F.

KYUNGPOOK MATHEMATICAL JOURNAL, cilt.58, ss.271-289, 2018 (ESCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 58 Konu: 2
  • Basım Tarihi: 2018
  • Doi Numarası: 10.5666/kmj.2018.58.2.271
  • Dergi Adı: KYUNGPOOK MATHEMATICAL JOURNAL
  • Sayfa Sayıları: ss.271-289

Özet

Let 0 < q < infinity. In this study, we introduce the spaces BVq and LSq of q-bounded variation double sequences and q-summable double series as the domain of four-dimensional backward difference matrix Delta and summation matrix S in the space L-q of absolutely q-summable double sequences, respectively. Also, we determine their alpha- and beta-duals and give the characterizations of some classes of four-dimensional matrix transformations in the case 0 < q <= 1.