Scientiae Mathematicae Japonicae
Online ISSN : 1346-0447
ON CONVERGENCE IN THE ORLICZ SPACE AS A RANKED SPACE
Ichiro Suzuki
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2014 Volume 76 Issue 3 Pages 385-393

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Abstract
Kita and Yoneda showed that every Cauchy sequence with Orlicz norm r-converges in the Orlicz space considered as a ranked space, and however there exists an r-convergent sequence which is not a Cauchy sequence. We give an another proof and show that every sequence of points in every fundamental sequence r-converges
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© 2014 International Society for Mathematical Sciences
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