On the spaces of λ- convergent and bounded series

2013/07/22 by Meltem Kaya, Kaya, Meltem, Hasan Furkan +1
Mathematics · #40H05 #46A45} #FOS: Mathematics #Functional Analysis (math.FA) #[2000]{40C05 #math.FA #msc:40H05

paper · pdf · doi:10.48550/arxiv.1307.5620

15 pages research article

arxiv created 2013/07/22 · arxiv updated 2013/07/23

Abstract

The main purpose of this study is to introduce the spaces cs^λ, cs₀^λ and bs^λ which are BK-spaces of non-absolute type. We prove that these spaces are linearly isomorphic to the spaces cs, cs₀ and bs, respectively and derive some inclusion relations. Additionally, their Schauder bases have been constructed and the α-,β- and γ- duals of these spaces have been computed. Finally, we characterize some matrix classes from the spaces cs^λ, cs₀^λ and bs^λ to spaces ℓ_p, c and c₀, where 1≤ p≤∞ .

Related

• Some new Fibonacci difference spaces of non-absolute type and compact operators
• Some new Fibonacci difference spaces of non-absolute type and compact operators
• On Certain Sequence Spaces
• Some Fibonacci sequence spaces of non-absolute type derived from ℓ_p with (1 ≤ p ≤ ∞) and Hausdorff measure of non-compactness of composition operators
• On Some New Generalized Difference Sequence Spaces of Non-Absolute Type