International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 74319, 8 pages
doi:10.1155/IJMMS/2006/74319

Matrix transformations between the spaces of Cesàro sequences and invariant means

M. Mursaleen,1 E. Savaş,2 M. Aiyub,3 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

Received 6 March 2005; Revised 16 October 2005; Accepted 18 December 2005

Copyright © 2006 M. Mursaleen et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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.