- Journal of Advanced Mathematics and Education
- Vol: 1 Issue: 1
- ON SOME DISTINGUISHED SUBSPACES AND RELATIONSHIP BETWEEN DUALS
ON SOME DISTINGUISHED SUBSPACES AND RELATIONSHIP BETWEEN DUALS
Authors : Mahmut Karakuş
Pages : 1-10
View : 7 | Download : 4
Publication Date : 2018-01-01
Article Type : Other
Abstract :In this paper, we observe some new spaces to obtain new β- and γtype duality of a sequence space λ, related to the some sequence spaces. Beforethis we give some new distinguished subspaces of an F K space obtained by anoperator of Ayd n and Ba³ar [2], which is stronger than common C- Cesàro operator. We also give some structural theorems and inclusions for these distinguishedsubspaces. Finally we prove some theorems related to the f-, ar- and ar- duality ofa sequence space λ like Goes [14] and Buntinas [8]. These theorems are importantsb to decade the duality of a sequence space in summability theory and topologicalsequence spaces theoryKeywords : F K spaces, Matrix methods, β-, γ-, f- duality