Some New Generalized Difference Spaces of Nonabsolute Type Derived from the Spaces ℓp and ℓ∞

We introduce the sequence space ℓpλ(B) of none absolute type which is a p-normed space and BK space in the cases 0<p<1 and 1⩽p⩽∞, respectively, and prove that ℓpλ(B) and ℓp are linearly isomorphic for 0<p⩽∞. Furthermore, we give some inclusion relations concerning the space ℓpλ(B) and we co...

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Bibliographic Details
Main Authors: Feyzi Başar, Ali Karaisa
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:The Scientific World Journal
Online Access:http://dx.doi.org/10.1155/2013/349346
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