We introduce the spaces of -null, -convergent, and -bounded sequences. We examine some topological properties of the spaces and give some inclusion relations concerning these sequence spaces. Furthermore, we compute -, -, and -duals of these spaces. Finally, we characterize some classes of matrix transformations from the spaces of -bounded and -convergent sequences to the spaces of bounded, almost convergent, almost null, and convergent sequences and present a Steinhaus type theorem.
"On the Domain of the Triangle on the Spaces of Null, Convergent, and Bounded Sequences." Abstr. Appl. Anal. 2013 1 - 9, 2013. https://doi.org/10.1155/2013/476363