Abstract:Sequence space of convergent series can also be seen as a matrix domain of
triangle. By using the theory of matrix domains of triangle, as well as the
fact that cs is an AK space we can give the representation of some general
bounded linear operators related to the cs sequence space. We will also give
the conditions for compactness by using the Hausdorff measure of
noncompactness.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.