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

Authors
Aizpuru, A. Nicasio-Llach, M. Rambla-Barreno, F.
Citation
A. Aizpuru, et al., A remark about the Orlicz-Pettis theorem and the statistical convergence, Acta mathematica Sinica. English series (Print) , 26(2), 2010, pp. 305-310
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
26
Issue
2
Year of publication
2010
Pages
305 - 310
Database
ACNP
SICI code
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.