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

Authors : Ramazan KAMA, Bilal ALTAY

Pages : 33-37

View : 11 | Download : 5

Publication Date : 2019-04-15

Article Type : Research Paper

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