Some Topological and Geometric Properties of Some New Spaces of λ-Convergent and Bounded Series
Joint Authors
Source
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-06-01
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
The main purpose of this study is to introduce the spaces csλ, cs0λ, and bsλ which are BK-spaces of nonabsolute type.
We prove that these spaces are linearly isomorphic to the spaces cs, cs0, and bs, respectively, and derive some inclusion relations.
Additionally, Schauder bases of the spaces csλ and cs0λ have been constructed and the α-, β-, and γ-duals of these spaces have been computed.
Besides, we characterize some matrix classes from the spaces csλ, cs0λ, and bsλ to the spaces lp, c, and c0, where 1≤p≤∞.
Finally, we examine some geometric properties of these spaces as Gurarǐ’s modulus of convexity, property m∞, property (M), property WORTH, nonstrict Opial property, and weak fixed point property.
American Psychological Association (APA)
Kaya, Meltem& Furkan, Hasan. 2015. Some Topological and Geometric Properties of Some New Spaces of λ-Convergent and Bounded Series. Journal of Function Spaces،Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1068270
Modern Language Association (MLA)
Kaya, Meltem& Furkan, Hasan. Some Topological and Geometric Properties of Some New Spaces of λ-Convergent and Bounded Series. Journal of Function Spaces No. 2015 (2015), pp.1-10.
https://search.emarefa.net/detail/BIM-1068270
American Medical Association (AMA)
Kaya, Meltem& Furkan, Hasan. Some Topological and Geometric Properties of Some New Spaces of λ-Convergent and Bounded Series. Journal of Function Spaces. 2015. Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1068270
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1068270