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Submitted
Jul 16, 2024
Published
Oct 14, 2024
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Abstract

The concept of weak convergence is generated by “weakening” the existing convergence properties in normed spaces. The outcome of this article is to prove the basic properties of weak convergence, the space of weakly convergent sequence is a Banach space and the operators from the space of weakly convergent sequence to other sequence spaces (l1(X),lp(X), linfty(X),S(X) ) and vice versa are linear and bounded .

Keywords

Normed Space, Operator , Space of Weakly Convergent Sequence, Weakly Convergent Sequence

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References

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