Continuity of superposition operators on the double sequence spaces of maddox L(p)

GÜNGÖR N., Sağır Duyar B.

Iranian Journal of Science and Technology, Transaction A: Science, cilt.41, sa.2, ss.451-456, 2017 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 41 Sayı: 2
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1007/s40995-017-0266-1
  • Dergi Adı: Iranian Journal of Science and Technology, Transaction A: Science
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.451-456
  • Anahtar Kelimeler: Continuity, Double sequence spaces, Pringsheim’s convergent, Superposition operators
  • Samsun Üniversitesi Adresli: Hayır

Özet

Petranuarat and Kemprasit (Southeast Asian Bull Math 21:139–147, 1997) characterized continuity of the superposition operator acting from the sequence space lp into lq where 1 ≤ p, q < ∞. Sağır and Güngör defined the superposition operator Pg by Pg(x) = (g(k, s, xks))∞k,s=1 for all real double sequences (xks) where g: N2 × R → R and gave continuity of the superposition operator acting from the double sequence spaces Lp into Lq for 1 ≤ p, q < ∞. In this paper, we characterize the continuity of the superposition operator acting from Maddox double sequence spaces L(p) into L(q)where p = (pks) and q = (qks) are bounded double sequences of positive numbers.