Academic Editor: Narcisa C. Apreutesei
Copyright © 2011 Serkan Demiriz 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.
We introduce the new difference sequence space . Further, it is
proved that the space is the BK-space including the space , which is the space of sequences of pbounded
variation. We also show that the spaces , and are linearly isomorphic for .
Furthermore, the basis and the , and
duals of the space are determined. We devote
the final section of the paper to examine some geometric properties of the space .