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

页码：575 / 586

页数：12

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