Advertisement
Published in:
Open Access 01-12-2009 | Research Article
On the Generalized
-Riesz Difference Sequence Space and
-Property
Published in: Journal of Inequalities and Applications | Issue 1/2009
Log inActivate our intelligent search to find suitable subject content or patents.
Select sections of text to find matching patents with Artificial Intelligence. powered by
Select sections of text to find additional relevant content using AI-assisted search. powered by
Abstract
We introduce the generalized Riesz difference sequence space
which is defined by
where
is the Riesz sequence space defined by Altay and Başar. We give some topological properties, compute the
duals, and determine the Schauder basis of this space. Finally; we study the characterization of some matrix mappings on this sequence space. At the end of the paper, we investigate some geometric properties of
and we have proved that this sequence space has property
for
.
which is defined by
where
is the Riesz sequence space defined by Altay and Başar. We give some topological properties, compute the
duals, and determine the Schauder basis of this space. Finally; we study the characterization of some matrix mappings on this sequence space. At the end of the paper, we investigate some geometric properties of
and we have proved that this sequence space has property
for
.