Difference sequence spaces

In [1] Sr(Δ):={x=(xk):(kr|Δxk|)k=1∞∈c0} for r≥1 is studied. In this paper, we generalize this space to Sr(p,Δ) for a sequence of strictly positive reals. We give a characterization of the matrix classes (Sr(p,Δ),ℓ∞) and (Sr(p,Δ),ℓ1).

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Bibliographic Details
Main Authors: A. K. Gaur, Mursaleen
Format: Article
Language:English
Published: Wiley 1998-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171298000970
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