Statistical order convergence in Riesz spaces
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AbstractIn this paper, we introduce the concepts of statistical monotone convergence and statistical order convergence in a Riesz space, and establish some basic facts. We show that the statistical order convergence and the statistical convergence in norm need not be equivalent in a normed Riesz space. Finally, we introduce the statistical order boundedness of a sequence in a Riesz space.
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2017 ◽
Vol 37
(2)
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pp. 129-144
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1989 ◽
Vol 105
(3)
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pp. 523-536
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2011 ◽
Vol 9
(3)
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pp. 283-304
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2020 ◽
Vol 15
(2)
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pp. 17-24
2017 ◽
Vol 37
(3)
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pp. 85-97