AK(ϑ) -Property of Double Series Spaces

Yeşılkayagıl M., Başar F.

Bulletin of the Malaysian Mathematical Sciences Society, vol.44, no.2, pp.881-889, 2021 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 44 Issue: 2
  • Publication Date: 2021
  • Doi Number: 10.1007/s40840-020-00982-z
  • Journal Name: Bulletin of the Malaysian Mathematical Sciences Society
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
  • Page Numbers: pp.881-889
  • Keywords: Alpha-, beta- and gamma-duals, Matrix transformations, Paranormed sequence space
  • Uşak University Affiliated: Yes

Abstract

In the present paper, we show that ϑ-convergent double series spaces CSϑ and the series space BV of double sequences of bounded variation are BDK-spaces and investigate their AK(ϑ) -space property, where ϑ∈ { p, bp, r}.