On Some Sequence Spaces Related to a Sequence in a Normed space

Year 2019, Volume: 7 Issue: 1, 33 - 37, 15.04.2019

Ramazan Kama , Bilal Altay

Abstract

In this paper, we introduce some new multiplier sequence spaces by using sequences in a normed space $X$ and matrix domain of Ces\'aro summability method in $\ell_\infty$ and $c_0$. Then we obtain the characterizations of completeness and barrelledness of normed space $X$ through its weakly and weakly* unconditionally Cauchy series.

Keywords

Mulpilier spaces, weakly unconditionally Cauchy series, completeness, Cesáro sequence spaces, barrelledness

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