Continuity of Superposition Operators on the Double Sequence Spaces of Maddox L(p)

Gungor N., Sağır Duyar B.

IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, cilt.41, sa.A2, ss.451-456, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 41 Sayı: A2
  • 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: Superposition operators, Continuity, Double sequence spaces, Pringsheim's convergent
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

Petranuarat and Kemprasit (Southeast Asian Bull Math 21: 139-147, 1997) characterized continuity of the superposition operator acting from the sequence space l(p) into l(q) where 1 <= p, q < infinity. Sagir and Gungor defined the superposition operator P-g by P-g(x) = (g(k, s, x(ks)))(k,s= 1)(infinity) for all real double sequences (x(ks)) where g : N-2 x R -> R and gave continuity of the superposition operator acting from the double sequence spaces L-p into L-q for 1 <= p, q < infinity. In this paper, we characterize the continuity of the superposition operator acting from Maddox double sequence spaces L(p) into L(q)where p = (p(ks)) and q = (q(ks)) are bounded double sequences of positive numbers.