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1994•International Journal of Mathematics and Mathematical SciencesOpen access

On certain sequence spaces II

Hüsnü Kizmaz

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Abstract

In this paper we define the space co(Δ) = {x = (xk)/xk − kk−1 → 0(k → ∞), xo = 0, xk ∈ ℂ} and compute its duals (Continuous dual, β‐dual and N‐dual) The aim of this paper is to give same results about matrix mapping of co(Δ) into other sequence spaces including the convergent sequences, null sequences and bounded sequences.

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In this paper we define the space co(Δ) = {x = (xk)/xk − kk−1 → 0(k → ∞), xo = 0, xk ∈ ℂ} and compute its duals (Continuous dual, β‐dual and N‐dual) The aim of this paper is to give same results about matrix mapping of co(Δ) into other sequence spaces including the convergent sequences, null sequences and bounded sequences.

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Available abstract

In this paper we define the space co(Δ) = {x = (xk)/xk − kk−1 → 0(k → ∞), xo = 0, xk ∈ ℂ} and compute its duals (Continuous dual, β‐dual and N‐dual) The aim of this paper is to give same results about matrix mapping of co(Δ) into other sequence spaces including the convergent sequences, null sequences and bounded sequences.

Key concepts: Algorithm, Computer science

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