Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 432059, 6 pages
doi:10.1155/2010/432059
Research Article

Characterization of P-Core and Absolute Equivalence of Double Sequences

Hasan Furkan1 and Celal Çakan2

1Faculty of Education, Sütçü İmam University, 46100 Kahramanmaraş, Turkey
2Faculty of Education, İnönü University, 44280 Malatya, Turkey

Received 13 November 2009; Accepted 31 January 2010

Academic Editor: Ram N. Mohapatra

Copyright © 2010 Hasan Furkan and Celal Çakan. 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 P-core of a double sequence has been defined and it is studied by many authors. In this paper, we have determined two permutations π1 and π2 on the set of natural numbers for which P-coreAπ1(x)=P-coreAπ2(x) for all x∈ℓ∞2.