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A Remark about the Orlicz-Pettis Theorem and the Statistical Convergence

A Remark about the Orlicz-Pettis Theorem and the Statistical Convergence
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摘要 In this paper we obtain a new version of the Orlicz-Pettis theorem by using statistical convergence. To obtain this result we prove a theorem of uniform convergence on matrices related to the statistical convergence. In this paper we obtain a new version of the Orlicz-Pettis theorem by using statistical convergence. To obtain this result we prove a theorem of uniform convergence on matrices related to the statistical convergence.
作者 A.AIZPURU M.NICASIO-LLACH F.RAMBLA-BARRENO
机构地区 Departamento de Matemticas
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2010年第2期305-310,共6页 数学学报（英文版）
基金 Supported by Junta de Andalucia grant FQM 257 supported by MEC Project MTM-2006-15546-C02-01
关键词 statistical convergence SUMMABILITY Orlicz-Pettis theorem statistical convergence, summability, Orlicz-Pettis theorem
分类号 O212.1 [理学—概率论与数理统计]
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Acta Mathematica Sinica,English Series
2010年 第2期

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