International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Issue 3, Pages 74319, 8 p.
doi:10.1155/IJMMS/2006/74319
Matrix transformations between the spaces of Cesàro sequences and invariant means
M. Mursaleen1
, E. Savaş2
, M. Aiyub3
and S.A. Mohiuddine3
1Department of Mathematics, Faculty of Science, King Abdul-Aziz University, P.O. Box 80203, Jeddah, Saudi Arabia
2Department of Mathematics, Y. Y. University, Van 65080, Turkey
3Department of Mathematics, Aligarh Muslim University (AMU), Aligarh 202002, India
Abstract
The main purpose of this paper is to characterize the classes of matrices (ces[(p),(q)],cσ) and (ces[(p),(q)],l∞σ), where cσ is the space of all bounded sequences all of whose σ- means are equal, l∞σ is the space of σ- bounded sequences, and ces[(p),(q)] is the generalized Cesàro sequence space.