A remark about the Orlicz-Pettis theorem and the statistical convergence

作者：Aizpuru A^*; Nicasio Llach M; Rambla Barreno F

来源：Acta Mathematica Sinica-English Series, 2010, 26(2): 305-310.

DOI：10.1007/s10114-010-7472-5

• statistical convergence
• summability
• Orlicz-Pettis theorem

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.

• 出版日期2010-2