Matrix transformations on the matrix domains of triangles in the spaces of strongly C1-summable and bounded sequences
Küçük Resim Yok
Tarih
2008
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Kossuth Lajos Tudomanyegyetem
Erişim Hakkı
info:eu-repo/semantics/closedAccess
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).
Açıklama
Anahtar Kelimeler
matrix domain in a sequence space, beta-duals, matrix transformations
Kaynak
Publicationes Mathematicae-Debrecen
WoS Q Değeri
Q4
Scopus Q Değeri
Q2
Cilt
73
Sayı
1-2
