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A remark about the Orlicz-Pettis theorem and the statistical convergence |
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| Authors: | A. Aizpuru M. Nicasio-Llach F. Rambla-Barreno |
| Affiliation: | (1) Departamento de Matemáticas, Universidad de Cádiz, Apartado 40, 11510- Puerto Real (Cádiz), Spain E-mail;(2) Universidad de Cádiz, Apartado 40, 11510- Puerto Real (Cádiz), Spain E-mail |
| Abstract: | 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. |
| Keywords: | statistical convergence summability Orlicz-Pettis theorem |
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