On Cesaro summability of vector valued multiplier spaces and operator valued series

被引：19
|
作者：
Altay, Bilal [1 ]
Kama, Ramazan [2 ]
机构：
[1] Inonu Univ, Fac Educ, Cent Campus, TR-44280 Battalgazi, Malatya, Turkey
[2] Siirt Univ, Dept Math, Kezer Campus, TR-56100 Siirt, Turkey
来源：
POSITIVITY | 2018年 / 22卷 / 02期
关键词：
Multiplier convergent series; Cesaro sequence spaces; Summing operator; Compact operators; Orlicz-Pettis theorem;
D O I：
10.1007/s11117-017-0528-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we introduce and study vector valued multiplier spaces with the help of the sequence of continuous linear operators between normed spaces and CesA ro convergence. Also, we obtain a new version of the Orlicz-Pettis Theorem by means of CesA ro summability.
引用
收藏
页码：575 / 586
页数：12
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