Title of article :
Triangles Which are Bounded Operators on Ak
Author/Authors :
Savas, E. Istanbul Commerce University - Department of Mathematics, Turkey , Sevli, H. Yuzuncu Yıl University - Faculty of Arts Sciences - Department of Mathematics, Turkey , Rhoades, B. E. Indiana University - Department of Mathematics, USA
Abstract :
A lower triangular infinite matrix is called a triangle if there are no zeros on the principal diagonal. The main result of this paper gives a minimal set of sufficient conditions for a triangle T : Ak → Ak for the sequence space Ak defined as follows:Ak := {{sn} : ∑ ^∞ n=1 n^k−1 | an|^k ∞ , an = sn − sn−1 }.
Keywords :
Bounded operator , triangular matrices , Ak spaces , weighted mean methods.
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society
