ON SOME DISTINGUISHED SUBSPACES AND RELATIONSHIP BETWEEN DUALS

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Journal of Advanced Mathematics and Education
Volume: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 : 21 | Download : 11

Publication Date : 2018-01-01

Article Type : Other Papers

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 theory
Keywords : F K spaces, Matrix methods, β, γ, f duality

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