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2014•Journal of Inequalities and ApplicationsOpen access

On some properties of new paranormed sequence space defined by λ 2 -convergent sequences

Naim L. Braha

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Abstract

In this paper, we introduce the new sequence space 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 space and the other spaces. MSC:46A45.

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What this paper is about

In this paper, we introduce the new sequence space 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 space and the other spaces. MSC:46A45.

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OpenAlex reports 6 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

In this paper, we introduce the new sequence space 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 space and the other spaces. MSC:46A45.

Key concepts: Mathematics, Sequence space, Sequence (biology), Dual polyhedron, Isomorphism (crystallography), Completeness (order theory), Space (punctuation), Pure mathematics

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