Some ℓ(p)-Type New Sequence Spaces and Their Geometric Properties

Ekrem Savaş; Vatan Karakaya; Necip Şimşek

doi:10.1155/2009/696971

Abstract and Applied Analysis (Jan 2009)

Some ℓ(p)-Type New Sequence Spaces and Their Geometric Properties

Ekrem Savaş,
Vatan Karakaya,
Necip Şimşek

Affiliations

Ekrem Savaş: Department of Mathematics, İstanbul Commerce University, Uskudar 36472, İstanbul, Turkey
Vatan Karakaya: Department of Mathematical Engineering, Yildiz Technical University, Davutpasa Campus, 34210, Esenler, İstanbul, Turkey
Necip Şimşek: Department of Mathematics, Faculty of Arts and Science, Adıyaman University, 02040, Adıyaman, Turkey

DOI: https://doi.org/10.1155/2009/696971
Journal volume & issue: Vol. 2009

Abstract

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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.

Published in Abstract and Applied Analysis

ISSN: 1085-3375 (Print); 1687-0409 (Online)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/4058

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