Matrix transformations on the matrix domains of triangles in the spaces of strongly C<sub>1</sub>-summable and bounded sequences - Forschungsportal der Justus-Liebig-Universität Gießen:

Journal article

Matrix transformations on the matrix domains of triangles in the spaces of strongly C₁-summable and bounded sequences

Authors list: Basar, Feyzi; Malkowsky, Eberhard; Altay, Bilal

Publication year: 2008

Pages: 193-213

Journal: Publicationes Mathematicae Debrecen

Volume number: 73

Issue number: 1-2

ISSN: 0033-3883

Publisher: 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).

Citation Styles

Harvard Citation style: 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 Citation style: 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.

Keywords

beta-duals; DIFFERENCE-SEQUENCES; INCLUDE; L(P); matrix domain in a sequence space; matrix transformations; ORDER-M

SDG Areas