On multiplicative difference sequence spaces and related dual properties


Creative Commons License

Kadak U.

BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, cilt.35, sa.3, ss.181-193, 2017 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 35 Sayı: 3
  • Basım Tarihi: 2017
  • Doi Numarası: 10.5269/bspm.v35i3.29182
  • Dergi Adı: BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.181-193
  • Yozgat Bozok Üniversitesi Adresli: Evet

Özet

The main purpose of the present article is to introduce the multiplicative difference sequence spaces of order m by defining the multiplicative difference operator Delta(m)(*)(x(k)) = x(k) x(k+1)(-m) x(k+2)((2m)) x(k+3)(-(3m)) x(k+4)((4m)) ... x(k+m)((-1)m) for all m, k is an element of N. By using the concept of multiplicative linearity some topological properties are investigated and determined their dual spaces via multiplicative infinite matrices.