Some Subspaces of an FK Space and Deferred Cesàro Conullity

İlhan Daǧadur; Şeyda Sezgek

paper

Some Subspaces of an FK Space and Deferred Cesàro Conullity

arXiv:2004.03430

Abstract

In this paper, we construct new important the subspaces $D_{p}^{q} S$ , $D_{p}^{q} W$ , $D_{p}^{q} F$ and $D_{p}^{q} B$ for a locally convex FK-space $X$ containing $ϕ$ , the space of finite sequences. Then we show that there is relation among these subspaces. Also, we study deferred Cesàro conullity of one FK-space with respect to another, and we give some important results. Finally, we examine the deferred Cesàro conullity of the absolute summability domain $l_{A}$ , and show that if $l_{A}$ is deferred Cesàro conull, then $A$ cannot be $l$ -replaceable.