Matrix transformations on the matrix domains of triangles in the spaces of strongly C-1-summable and bounded sequences

Basar F., Malkowsky E., ALTAY B.

PUBLICATIONES MATHEMATICAE-DEBRECEN, cilt.73, ss.193-213, 2008 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 73
  • Basım Tarihi: 2008
  • Dergi Adı: PUBLICATIONES MATHEMATICAE-DEBRECEN
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.193-213
  • Anahtar Kelimeler: matrix domain in a sequence space, beta-duals, matrix transformations, DIFFERENCE-SEQUENCES, ORDER-M, INCLUDE, L(P)
  • İnönü Üniversitesi Adresli: Evet

Özet

Let w(0)(p), w(p) and w(infinity)(p) be the sets of sequences that are strongly summable to zero, summable and bounded of index p >= 1 by the Cesaro method of order 1, which were introduced by Maddox [I. J. MADDOX, On Kuttner's theorem, J. London Math. Soc. 43 (1968), 285-290]. We study the matrix domains w(0)(p)(T) = (W-0(p))(T), w(p)(T) = (W-p)T and w(infinity)(p) (T) = (W-infinity(p))T of arbitrary triangles T in w(0)(p),w(p) and w(infinity)(p), determine their beta-duals, and characterize matrix transformations on them into the spaces c(0), c and l(infinity).