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On Some Generalized 
-Difference Riesz Sequence Spaces and Uniform Opial Property
Journal of Inequalities and Applications volume 2011, Article number: 485730 (2011)
Abstract
We define the new generalized difference Riesz sequence spaces 
, 
, and 
which consist of all the sequences whose 
-transforms are in the Riesz sequence spaces 
, 
, and 
, respectively, introduced by Altay and Başar (2006). We examine some topological properties and compute the 
-, 
-, and 
-duals of the spaces 
, 
, and 
. Finally, we determine the necessary and sufficient conditions on the matrix transformation from the spaces 
, 
, and 
to the spaces 
and 
and prove that sequence spaces 
and 
have the uniform Opial property for 
for all 
.
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Başarır, M., Öztürk, M. On Some Generalized 
-Difference Riesz Sequence Spaces and Uniform Opial Property.
J Inequal Appl 2011, 485730 (2011). https://doi.org/10.1155/2011/485730
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DOI: https://doi.org/10.1155/2011/485730