On some properties of new paranormed sequence space defined by λ-convergent sequences
نویسنده
چکیده
*Correspondence: [email protected] Department of Mathematics and Computer Sciences, University of Prishtina, Avenue ‘Mother Teresa’ 5, Prishtinë, 10000, Kosovo Department of Computer Sciences and Applied Mathematics, College Vizioni per Arsim, Ferizaj, 70000, Kosovo Abstract In this paper, we introduce the new sequence space l(λ2,p) and we will show some topological properties like completeness, isomorphism, and some inclusion relations between this sequence spaces and some of the other sequence spaces. In addition we will compute the α-, β-, and γ -duals of these spaces. At the end of the article we will show some matrix transformations between the l(λ2,p) space and the other spaces. MSC: 46A45
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