Some Subspaces of an FK Space and Deferred Cesàro Conullity

2020/04/07 by İlhan Dağadur, Daǧadur, İlhan, Şeyda Sezgek +1
Mathematics · #40A05 #40C05 #40D05 #46A45 #Approximation Theory and Sequence Spaces #FOS: Mathematics #Functional Analysis (math.FA) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2004.03430

openalex publication_date 2020/04/07 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28

Abstract

In this paper, we construct new important the subspaces D_p^qS, D_p^qW, D_p^qF and D_p^qB 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.

Related

• Deferred Cesàro conull FK spaces
• On some locally convex FK spaces
• Basic topological and geometric properties of Cesàro--Orlicz spaces
• Invariant subspaces of the Cesaro operator
• Fréchet and (LB) sequence spaces induced by dual Banach spaces of discrete Cesàro spaces