Journalartikel

Jahr der Veröffentlichung: 2008

Seiten: 193-213

Zeitschrift: Publicationes Mathematicae Debrecen

Bandnummer: 73

Heftnummer: 1-2

ISSN: 0033-3883

Verlag: Debreceni Egyetem, Matematika Intézet

Abstract: 
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).

Harvard-Zitierstil: Basar, F., Malkowsky, E. and Altay, B. (2008) Matrix transformations on the matrix domains of triangles in the spaces of strongly C₁-summable and bounded sequences, Publicationes Mathematicae Debrecen, 73(1-2), pp. 193-213

APA-Zitierstil: Basar, F., Malkowsky, E., & Altay, B. (2008). Matrix transformations on the matrix domains of triangles in the spaces of strongly C₁-summable and bounded sequences. Publicationes Mathematicae Debrecen. 73(1-2), 193-213.