A remark about the statistical CesA ro summability and the Orlicz-Pettis theorem

被引:8
作者
Aizpuru, A. [1 ]
Nicasio-Llach, M. [1 ]
Sala, A. [1 ]
机构
[1] Univ Cadiz, Dept Matemat, Cadiz 11510, Spain
关键词
statistical convergence; Cesaro summability; Orlicz-Pettis theorem;
D O I
10.1007/s10474-009-9021-1
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We prove a version of the Orlicz-PettAnot signs theorem within the frame of the Statistical CesA ro summability.
引用
收藏
页码:94 / 98
页数:5
相关论文
共 9 条
[1]   Unconditionally Cauchy series and Cesaro summability [J].
Aizpuru, A. ;
Gutierrez-Davila, A. ;
Sala, A. .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 324 (01) :39-48
[2]  
AIZPURU A, 2008, STAT CONVERGENCE WEA
[3]  
[Anonymous], 1984, SEQUENCES SERIES BAN
[4]  
ANTOSIK P, 1985, LECT NOTES MATH
[5]   A characterization of Banach spaces with separable duals via weak statistical convergence [J].
Connor, J ;
Ganichev, M ;
Kadets, V .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2000, 244 (01) :251-261
[6]  
FAST H., 1951, Colloq. Math., V2, P241
[7]  
Fridy JA, 1985, Analysis, V5, P301, DOI DOI 10.1524/ANLY.1985.5.4.301
[8]  
KOLK E, 1991, TARTU UL TOIMETISED, V928, P41
[9]  
STEINHAUS H., 1951, Colloq. Math, P73, DOI DOI 10.4064/CM-2-2-98-108