Some Classes of Operators Related to the Space of Convergent Series cs

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.