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.
Mulpilier spaces weakly unconditionally Cauchy series completeness Cesáro sequence spaces barrelledness
Primary Language | English |
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Subjects | Engineering |
Journal Section | Articles |
Authors | |
Publication Date | April 15, 2019 |
Submission Date | January 21, 2019 |
Acceptance Date | March 28, 2019 |
Published in Issue | Year 2019 Volume: 7 Issue: 1 |