Abstract and Applied Analysis
Volume 2009 (2009), Article ID 696971, 12 pages
doi:10.1155/2009/696971
Some ℓ(p)-Type New Sequence Spaces and Their Geometric Properties
Ekrem Savaş1
, Vatan Karakaya2
and Necip Şimşek3
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
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.