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
Birincil Dil | İngilizce |
---|---|
Konular | Mühendislik |
Bölüm | Articles |
Yazarlar | |
Yayımlanma Tarihi | 15 Nisan 2019 |
Gönderilme Tarihi | 21 Ocak 2019 |
Kabul Tarihi | 28 Mart 2019 |
Yayımlandığı Sayı | Yıl 2019 Cilt: 7 Sayı: 1 |