ON CONVERGENCE IN THE ORLICZ SPACE AS A RANKED SPACE
キーワード:
Orlicz spaces,
ranked spaces
2014 年 76 巻 3 号 p. 385-393
詳細
2014 年 76 巻 3 号 p. 385-393
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
