Abstract and Applied Analysis
Volume 2009 (2009), Article ID 696971, 12 pages
doi:10.1155/2009/696971
Research Article
Some ℓ(p)-Type New Sequence Spaces and Their Geometric Properties
1Department of Mathematics, İstanbul Commerce University, Uskudar 36472, İstanbul, Turkey
2Department of Mathematical Engineering, Yildiz Technical University, Davutpasa Campus, 34210, Esenler, İstanbul, Turkey
3Department of Mathematics, Faculty of Arts and Science, Adıyaman University, 02040, Adıyaman, Turkey
Received 17 March 2009; Accepted 4 August 2009
Academic Editor: Agacik Zafer
Copyright © 2009 Ekrem Savaş 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
We introduce an ℓ(p)-type new sequence space and investigate its some topological properties including AK and AD properties. Besides, we examine some geometric properties of this space concerning
Banach-Saks type p and Gurarii's modulus of convexity.